proteus: csmoothers.c Source File

/* Generated by Cython 0.29.24 */


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  #define PyString_Type                PyUnicode_Type

  #define PyString_Check               PyUnicode_Check

  #define PyString_CheckExact          PyUnicode_CheckExact

#ifndef PyObject_Unicode

  #define PyObject_Unicode             PyObject_Str

#endif

#endif

#if PY_MAJOR_VERSION >= 3

  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)

  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)

#else

  #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))

  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))

#endif

#ifndef PySet_CheckExact

  #define PySet_CheckExact(obj)        (Py_TYPE(obj) == &PySet_Type)

#endif

#if PY_VERSION_HEX >= 0x030900A4

  #define __Pyx_SET_REFCNT(obj, refcnt) Py_SET_REFCNT(obj, refcnt)

  #define __Pyx_SET_SIZE(obj, size) Py_SET_SIZE(obj, size)

#else

  #define __Pyx_SET_REFCNT(obj, refcnt) Py_REFCNT(obj) = (refcnt)

  #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size)

#endif

#if CYTHON_ASSUME_SAFE_MACROS

  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)

#else

  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)

#endif

#if PY_MAJOR_VERSION >= 3

  #define PyIntObject                  PyLongObject

  #define PyInt_Type                   PyLong_Type

  #define PyInt_Check(op)              PyLong_Check(op)

  #define PyInt_CheckExact(op)         PyLong_CheckExact(op)

  #define PyInt_FromString             PyLong_FromString

  #define PyInt_FromUnicode            PyLong_FromUnicode

  #define PyInt_FromLong               PyLong_FromLong

  #define PyInt_FromSize_t             PyLong_FromSize_t

  #define PyInt_FromSsize_t            PyLong_FromSsize_t

  #define PyInt_AsLong                 PyLong_AsLong

  #define PyInt_AS_LONG                PyLong_AS_LONG

  #define PyInt_AsSsize_t              PyLong_AsSsize_t

  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask

  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask

  #define PyNumber_Int                 PyNumber_Long

#endif

#if PY_MAJOR_VERSION >= 3

  #define PyBoolObject                 PyLongObject

#endif

#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY

  #ifndef PyUnicode_InternFromString

    #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)

  #endif

#endif

#if PY_VERSION_HEX < 0x030200A4

  typedef long Py_hash_t;

  #define __Pyx_PyInt_FromHash_t PyInt_FromLong

  #define __Pyx_PyInt_AsHash_t   PyInt_AsLong

#else

  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t

  #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t

#endif

#if PY_MAJOR_VERSION >= 3

  #define __Pyx_PyMethod_New(func, self, klass) ((self) ? ((void)(klass), PyMethod_New(func, self)) : __Pyx_NewRef(func))

#else

  #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)

#endif

#if CYTHON_USE_ASYNC_SLOTS

  #if PY_VERSION_HEX >= 0x030500B1

    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods

    #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)

  #else

    #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))

  #endif

#else

  #define __Pyx_PyType_AsAsync(obj) NULL

#endif

#ifndef __Pyx_PyAsyncMethodsStruct

    typedef struct {

        unaryfunc am_await;

        unaryfunc am_aiter;

        unaryfunc am_anext;

    } __Pyx_PyAsyncMethodsStruct;

#endif


#if defined(WIN32) || defined(MS_WINDOWS)

  #define _USE_MATH_DEFINES

#endif

#include <math.h>

#ifdef NAN

#define __PYX_NAN() ((float) NAN)

#else

static CYTHON_INLINE float __PYX_NAN() {

  float value;

  memset(&value, 0xFF, sizeof(value));

  return value;

}

#endif

#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)

#define __Pyx_truncl trunc

#else

#define __Pyx_truncl truncl

#endif


#define __PYX_MARK_ERR_POS(f_index, lineno) \

    { __pyx_filename = __pyx_f[f_index]; (void)__pyx_filename; __pyx_lineno = lineno; (void)__pyx_lineno; __pyx_clineno = __LINE__; (void)__pyx_clineno; }

#define __PYX_ERR(f_index, lineno, Ln_error) \

    { __PYX_MARK_ERR_POS(f_index, lineno) goto Ln_error; }


#ifndef __PYX_EXTERN_C

  #ifdef __cplusplus

    #define __PYX_EXTERN_C extern "C"

  #else

    #define __PYX_EXTERN_C extern

  #endif

#endif


#define __PYX_HAVE__csmoothers

#define __PYX_HAVE_API__csmoothers

/* Early includes */

#include <string.h>

#include <stdio.h>

#include "numpy/arrayobject.h"

#include "numpy/ndarrayobject.h"

#include "numpy/ndarraytypes.h"

#include "numpy/arrayscalars.h"

#include "numpy/ufuncobject.h"


    /* NumPy API declarations from "numpy/__init__.pxd" */


#include "proteus_superlu.h"

#include "smoothers.h"

#include "pythread.h"

#include <stdlib.h>

#include "pystate.h"

#ifdef _OPENMP

#include <omp.h>

#endif /* _OPENMP */


#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)

#define CYTHON_WITHOUT_ASSERTIONS

#endif


typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;

                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;


#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0

#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0

#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8)

#define __PYX_DEFAULT_STRING_ENCODING ""

#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString

#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize

#define __Pyx_uchar_cast(c) ((unsigned char)c)

#define __Pyx_long_cast(x) ((long)x)

#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\

    (sizeof(type) < sizeof(Py_ssize_t))  ||\

    (sizeof(type) > sizeof(Py_ssize_t) &&\

          likely(v < (type)PY_SSIZE_T_MAX ||\

                 v == (type)PY_SSIZE_T_MAX)  &&\

          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\

                                v == (type)PY_SSIZE_T_MIN)))  ||\

    (sizeof(type) == sizeof(Py_ssize_t) &&\

          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\

                               v == (type)PY_SSIZE_T_MAX)))  )

static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {

    return (size_t) i < (size_t) limit;

}

#if defined (__cplusplus) && __cplusplus >= 201103L

    #include <cstdlib>

    #define __Pyx_sst_abs(value) std::abs(value)

#elif SIZEOF_INT >= SIZEOF_SIZE_T

    #define __Pyx_sst_abs(value) abs(value)

#elif SIZEOF_LONG >= SIZEOF_SIZE_T

    #define __Pyx_sst_abs(value) labs(value)

#elif defined (_MSC_VER)

    #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))

#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L

    #define __Pyx_sst_abs(value) llabs(value)

#elif defined (__GNUC__)

    #define __Pyx_sst_abs(value) __builtin_llabs(value)

#else

    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)

#endif

static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);

static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);

#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))

#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)

#define __Pyx_PyBytes_FromString        PyBytes_FromString

#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize

static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);

#if PY_MAJOR_VERSION < 3

    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString

    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize

#else

    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString

    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize

#endif

#define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))

#define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))

#define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))

#define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))

#define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))

#define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))

#define __Pyx_PyObject_AsWritableString(s)    ((char*) __Pyx_PyObject_AsString(s))

#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))

#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))

#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))

#define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))

#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)

#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)

#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)

#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)

#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)

static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u) {

    const Py_UNICODE *u_end = u;

    while (*u_end++) ;

    return (size_t)(u_end - u - 1);

}

#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))

#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode

#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode

#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)

#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)

static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);

static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);

static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);

static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);

#define __Pyx_PySequence_Tuple(obj)\

    (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))

static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);

static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);

#if CYTHON_ASSUME_SAFE_MACROS

#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))

#else

#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)

#endif

#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))

#if PY_MAJOR_VERSION >= 3

#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))

#else

#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))

#endif

#define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x))

#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII

static int __Pyx_sys_getdefaultencoding_not_ascii;

static int __Pyx_init_sys_getdefaultencoding_params(void) {

    PyObject* sys;

    PyObject* default_encoding = NULL;

    PyObject* ascii_chars_u = NULL;

    PyObject* ascii_chars_b = NULL;

    const char* default_encoding_c;

    sys = PyImport_ImportModule("sys");

    if (!sys) goto bad;

    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);

    Py_DECREF(sys);

    if (!default_encoding) goto bad;

    default_encoding_c = PyBytes_AsString(default_encoding);

    if (!default_encoding_c) goto bad;

    if (strcmp(default_encoding_c, "ascii") == 0) {

        __Pyx_sys_getdefaultencoding_not_ascii = 0;

    } else {

        char ascii_chars[128];

        int c;

        for (c = 0; c < 128; c++) {

            ascii_chars[c] = c;

        }

        __Pyx_sys_getdefaultencoding_not_ascii = 1;

        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);

        if (!ascii_chars_u) goto bad;

        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);

        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {

            PyErr_Format(

                PyExc_ValueError,

                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",

                default_encoding_c);

            goto bad;

        }

        Py_DECREF(ascii_chars_u);

        Py_DECREF(ascii_chars_b);

    }

    Py_DECREF(default_encoding);

    return 0;

bad:

    Py_XDECREF(default_encoding);

    Py_XDECREF(ascii_chars_u);

    Py_XDECREF(ascii_chars_b);

    return -1;

}

#endif

#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3

#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)

#else

#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)

#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT

static char* __PYX_DEFAULT_STRING_ENCODING;

static int __Pyx_init_sys_getdefaultencoding_params(void) {

    PyObject* sys;

    PyObject* default_encoding = NULL;

    char* default_encoding_c;

    sys = PyImport_ImportModule("sys");

    if (!sys) goto bad;

    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);

    Py_DECREF(sys);

    if (!default_encoding) goto bad;

    default_encoding_c = PyBytes_AsString(default_encoding);

    if (!default_encoding_c) goto bad;

    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c) + 1);

    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;

    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);

    Py_DECREF(default_encoding);

    return 0;

bad:

    Py_XDECREF(default_encoding);

    return -1;

}

#endif

#endif


/* Test for GCC > 2.95 */

#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))

  #define likely(x)   __builtin_expect(!!(x), 1)

  #define unlikely(x) __builtin_expect(!!(x), 0)

#else /* !__GNUC__ or GCC < 2.95 */

  #define likely(x)   (x)

  #define unlikely(x) (x)

#endif /* __GNUC__ */

static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }


static PyObject *__pyx_m = NULL;

static PyObject *__pyx_d;

static PyObject *__pyx_b;

static PyObject *__pyx_cython_runtime = NULL;

static PyObject *__pyx_empty_tuple;

static PyObject *__pyx_empty_bytes;

static PyObject *__pyx_empty_unicode;

static int __pyx_lineno;

static int __pyx_clineno = 0;

static const char * __pyx_cfilenm= __FILE__;

static const char *__pyx_filename;


/* Header.proto */

#if !defined(CYTHON_CCOMPLEX)

  #if defined(__cplusplus)

    #define CYTHON_CCOMPLEX 1

  #elif defined(_Complex_I)

    #define CYTHON_CCOMPLEX 1

  #else

    #define CYTHON_CCOMPLEX 0

  #endif

#endif

#if CYTHON_CCOMPLEX

  #ifdef __cplusplus

    #include <complex>

  #else

    #include <complex.h>

  #endif

#endif

#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)

  #undef _Complex_I

  #define _Complex_I 1.0fj

#endif


static const char *__pyx_f[] = {

  "proteus/csmoothers.pyx",

  "stringsource",

  "__init__.pxd",

  "type.pxd",

  "proteus/superluWrappers.pxd",

};

/* MemviewSliceStruct.proto */

struct __pyx_memoryview_obj;

typedef struct {

  struct __pyx_memoryview_obj *memview;

  char *data;

  Py_ssize_t shape[8];

  Py_ssize_t strides[8];

  Py_ssize_t suboffsets[8];

} __Pyx_memviewslice;

#define __Pyx_MemoryView_Len(m)  (m.shape[0])


/* Atomics.proto */

#include <pythread.h>

#ifndef CYTHON_ATOMICS

    #define CYTHON_ATOMICS 1

#endif

#define __pyx_atomic_int_type int

#if CYTHON_ATOMICS && __GNUC__ >= 4 && (__GNUC_MINOR__ > 1 ||\

                    (__GNUC_MINOR__ == 1 && __GNUC_PATCHLEVEL >= 2)) &&\

                    !defined(__i386__)

    #define __pyx_atomic_incr_aligned(value, lock) __sync_fetch_and_add(value, 1)

    #define __pyx_atomic_decr_aligned(value, lock) __sync_fetch_and_sub(value, 1)

    #ifdef __PYX_DEBUG_ATOMICS

        #warning "Using GNU atomics"

    #endif

#elif CYTHON_ATOMICS && defined(_MSC_VER) && 0

    #include <Windows.h>

    #undef __pyx_atomic_int_type

    #define __pyx_atomic_int_type LONG

    #define __pyx_atomic_incr_aligned(value, lock) InterlockedIncrement(value)

    #define __pyx_atomic_decr_aligned(value, lock) InterlockedDecrement(value)

    #ifdef __PYX_DEBUG_ATOMICS

        #pragma message ("Using MSVC atomics")

    #endif

#elif CYTHON_ATOMICS && (defined(__ICC) || defined(__INTEL_COMPILER)) && 0

    #define __pyx_atomic_incr_aligned(value, lock) _InterlockedIncrement(value)

    #define __pyx_atomic_decr_aligned(value, lock) _InterlockedDecrement(value)

    #ifdef __PYX_DEBUG_ATOMICS

        #warning "Using Intel atomics"

    #endif

#else

    #undef CYTHON_ATOMICS

    #define CYTHON_ATOMICS 0

    #ifdef __PYX_DEBUG_ATOMICS

        #warning "Not using atomics"

    #endif

#endif

typedef volatile __pyx_atomic_int_type __pyx_atomic_int;

#if CYTHON_ATOMICS

    #define __pyx_add_acquisition_count(memview)\

             __pyx_atomic_incr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)

    #define __pyx_sub_acquisition_count(memview)\

            __pyx_atomic_decr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)

#else

    #define __pyx_add_acquisition_count(memview)\

            __pyx_add_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)

    #define __pyx_sub_acquisition_count(memview)\

            __pyx_sub_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)

#endif


/* ForceInitThreads.proto */

#ifndef __PYX_FORCE_INIT_THREADS

  #define __PYX_FORCE_INIT_THREADS 0

#endif


/* NoFastGil.proto */

#define __Pyx_PyGILState_Ensure PyGILState_Ensure

#define __Pyx_PyGILState_Release PyGILState_Release

#define __Pyx_FastGIL_Remember()

#define __Pyx_FastGIL_Forget()

#define __Pyx_FastGilFuncInit()


/* BufferFormatStructs.proto */

#define IS_UNSIGNED(type) (((type) -1) > 0)

struct __Pyx_StructField_;

#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)

typedef struct {

  const char* name;

  struct __Pyx_StructField_* fields;

  size_t size;

  size_t arraysize[8];

  int ndim;

  char typegroup;

  char is_unsigned;

  int flags;

} __Pyx_TypeInfo;

typedef struct __Pyx_StructField_ {

  __Pyx_TypeInfo* type;

  const char* name;

  size_t offset;

} __Pyx_StructField;

typedef struct {

  __Pyx_StructField* field;

  size_t parent_offset;

} __Pyx_BufFmt_StackElem;

typedef struct {

  __Pyx_StructField root;

  __Pyx_BufFmt_StackElem* head;

  size_t fmt_offset;

  size_t new_count, enc_count;

  size_t struct_alignment;

  int is_complex;

  char enc_type;

  char new_packmode;

  char enc_packmode;

  char is_valid_array;

} __Pyx_BufFmt_Context;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":690

 * # in Cython to enable them only on the right systems.

 *

 * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<

 * ctypedef npy_int16      int16_t

 * ctypedef npy_int32      int32_t

 */

typedef npy_int8 __pyx_t_5numpy_int8_t;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":691

 *

 * ctypedef npy_int8       int8_t

 * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<

 * ctypedef npy_int32      int32_t

 * ctypedef npy_int64      int64_t

 */

typedef npy_int16 __pyx_t_5numpy_int16_t;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":692

 * ctypedef npy_int8       int8_t

 * ctypedef npy_int16      int16_t

 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<

 * ctypedef npy_int64      int64_t

 * #ctypedef npy_int96      int96_t

 */

typedef npy_int32 __pyx_t_5numpy_int32_t;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":693

 * ctypedef npy_int16      int16_t

 * ctypedef npy_int32      int32_t

 * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<

 * #ctypedef npy_int96      int96_t

 * #ctypedef npy_int128     int128_t

 */

typedef npy_int64 __pyx_t_5numpy_int64_t;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":697

 * #ctypedef npy_int128     int128_t

 *

 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<

 * ctypedef npy_uint16     uint16_t

 * ctypedef npy_uint32     uint32_t

 */

typedef npy_uint8 __pyx_t_5numpy_uint8_t;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":698

 *

 * ctypedef npy_uint8      uint8_t

 * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<

 * ctypedef npy_uint32     uint32_t

 * ctypedef npy_uint64     uint64_t

 */

typedef npy_uint16 __pyx_t_5numpy_uint16_t;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":699

 * ctypedef npy_uint8      uint8_t

 * ctypedef npy_uint16     uint16_t

 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<

 * ctypedef npy_uint64     uint64_t

 * #ctypedef npy_uint96     uint96_t

 */

typedef npy_uint32 __pyx_t_5numpy_uint32_t;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":700

 * ctypedef npy_uint16     uint16_t

 * ctypedef npy_uint32     uint32_t

 * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<

 * #ctypedef npy_uint96     uint96_t

 * #ctypedef npy_uint128    uint128_t

 */

typedef npy_uint64 __pyx_t_5numpy_uint64_t;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":704

 * #ctypedef npy_uint128    uint128_t

 *

 * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<

 * ctypedef npy_float64    float64_t

 * #ctypedef npy_float80    float80_t

 */

typedef npy_float32 __pyx_t_5numpy_float32_t;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":705

 *

 * ctypedef npy_float32    float32_t

 * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<

 * #ctypedef npy_float80    float80_t

 * #ctypedef npy_float128   float128_t

 */

typedef npy_float64 __pyx_t_5numpy_float64_t;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":714

 * # The int types are mapped a bit surprising --

 * # numpy.int corresponds to 'l' and numpy.long to 'q'

 * ctypedef npy_long       int_t             # <<<<<<<<<<<<<<

 * ctypedef npy_longlong   long_t

 * ctypedef npy_longlong   longlong_t

 */

typedef npy_long __pyx_t_5numpy_int_t;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":715

 * # numpy.int corresponds to 'l' and numpy.long to 'q'

 * ctypedef npy_long       int_t

 * ctypedef npy_longlong   long_t             # <<<<<<<<<<<<<<

 * ctypedef npy_longlong   longlong_t

 *

 */

typedef npy_longlong __pyx_t_5numpy_long_t;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":716

 * ctypedef npy_long       int_t

 * ctypedef npy_longlong   long_t

 * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<

 *

 * ctypedef npy_ulong      uint_t

 */

typedef npy_longlong __pyx_t_5numpy_longlong_t;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":718

 * ctypedef npy_longlong   longlong_t

 *

 * ctypedef npy_ulong      uint_t             # <<<<<<<<<<<<<<

 * ctypedef npy_ulonglong  ulong_t

 * ctypedef npy_ulonglong  ulonglong_t

 */

typedef npy_ulong __pyx_t_5numpy_uint_t;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":719

 *

 * ctypedef npy_ulong      uint_t

 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<

 * ctypedef npy_ulonglong  ulonglong_t

 *

 */

typedef npy_ulonglong __pyx_t_5numpy_ulong_t;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":720

 * ctypedef npy_ulong      uint_t

 * ctypedef npy_ulonglong  ulong_t

 * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<

 *

 * ctypedef npy_intp       intp_t

 */

typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":722

 * ctypedef npy_ulonglong  ulonglong_t

 *

 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<

 * ctypedef npy_uintp      uintp_t

 *

 */

typedef npy_intp __pyx_t_5numpy_intp_t;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":723

 *

 * ctypedef npy_intp       intp_t

 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<

 *

 * ctypedef npy_double     float_t

 */

typedef npy_uintp __pyx_t_5numpy_uintp_t;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":725

 * ctypedef npy_uintp      uintp_t

 *

 * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<

 * ctypedef npy_double     double_t

 * ctypedef npy_longdouble longdouble_t

 */

typedef npy_double __pyx_t_5numpy_float_t;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":726

 *

 * ctypedef npy_double     float_t

 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<

 * ctypedef npy_longdouble longdouble_t

 *

 */

typedef npy_double __pyx_t_5numpy_double_t;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":727

 * ctypedef npy_double     float_t

 * ctypedef npy_double     double_t

 * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<

 *

 * ctypedef npy_cfloat      cfloat_t

 */

typedef npy_longdouble __pyx_t_5numpy_longdouble_t;


/* "csmoothers.pxd":3

 * from proteus cimport superluWrappers

 *

 * ctypedef int PROTEUS_LAPACK_INTEGER             # <<<<<<<<<<<<<<

 * # ARB - the compiler macro does not seem to be picking this up...

 * ctypedef double [:] DDATA

 */

typedef int __pyx_t_10csmoothers_PROTEUS_LAPACK_INTEGER;

/* Declarations.proto */

#if CYTHON_CCOMPLEX

  #ifdef __cplusplus

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  #else

    typedef float _Complex __pyx_t_float_complex;

  #endif

#else

    typedef struct { float real, imag; } __pyx_t_float_complex;

#endif

static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);


/* Declarations.proto */

#if CYTHON_CCOMPLEX

  #ifdef __cplusplus

    typedef ::std::complex< double > __pyx_t_double_complex;

  #else

    typedef double _Complex __pyx_t_double_complex;

  #endif

#else

    typedef struct { double real, imag; } __pyx_t_double_complex;

#endif

static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);


/*--- Type declarations ---*/

struct __pyx_obj_7proteus_15superluWrappers_cSparseMatrix;

struct __pyx_obj_10csmoothers_cASMFactor;

struct __pyx_obj_10csmoothers_cBASMFactor;

struct __pyx_array_obj;

struct __pyx_MemviewEnum_obj;

struct __pyx_memoryview_obj;

struct __pyx_memoryviewslice_obj;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":729

 * ctypedef npy_longdouble longdouble_t

 *

 * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<

 * ctypedef npy_cdouble     cdouble_t

 * ctypedef npy_clongdouble clongdouble_t

 */

typedef npy_cfloat __pyx_t_5numpy_cfloat_t;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":730

 *

 * ctypedef npy_cfloat      cfloat_t

 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<

 * ctypedef npy_clongdouble clongdouble_t

 *

 */

typedef npy_cdouble __pyx_t_5numpy_cdouble_t;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":731

 * ctypedef npy_cfloat      cfloat_t

 * ctypedef npy_cdouble     cdouble_t

 * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<

 *

 * ctypedef npy_cdouble     complex_t

 */

typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;


/* "../miniconda3/envs/proteus-dev/lib/python3.9/site-packages/numpy/__init__.pxd":733

 * ctypedef npy_clongdouble clongdouble_t

 *

 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<

 *

 * cdef inline object PyArray_MultiIterNew1(a):

 */

typedef npy_cdouble __pyx_t_5numpy_complex_t;

struct __pyx_t_7proteus_15superluWrappers__NRformat;


/* "superluWrappers.pxd":61

 *     void csp_preorder "sp_preorder"(_superlu_options_t *, _SuperMatrix *, int *, int *, _SuperMatrix *)

 *

 * cdef struct _NRformat:             # <<<<<<<<<<<<<<

 *     np.int32_t nnz

 *     np.float64_t * nzval

 */

struct __pyx_t_7proteus_15superluWrappers__NRformat {

  __pyx_t_5numpy_int32_t nnz;

  __pyx_t_5numpy_float64_t *nzval;

  __pyx_t_5numpy_int32_t *colind;

  __pyx_t_5numpy_int32_t *rowptr;

};


/* "csmoothers.pxd":5

 * ctypedef int PROTEUS_LAPACK_INTEGER

 * # ARB - the compiler macro does not seem to be picking this up...

 * ctypedef double [:] DDATA             # <<<<<<<<<<<<<<

 * ctypedef int [:] IDATA

 * ctypedef superluWrappers._SuperMatrix SuperMatrix

 */

typedef __Pyx_memviewslice __pyx_t_10csmoothers_DDATA;


/* "csmoothers.pxd":6

 * # ARB - the compiler macro does not seem to be picking this up...

 * ctypedef double [:] DDATA

 * ctypedef int [:] IDATA             # <<<<<<<<<<<<<<

 * ctypedef superluWrappers._SuperMatrix SuperMatrix

 *

 */

typedef __Pyx_memviewslice __pyx_t_10csmoothers_IDATA;


/* "csmoothers.pxd":7

 * ctypedef double [:] DDATA

 * ctypedef int [:] IDATA

 * ctypedef superluWrappers._SuperMatrix SuperMatrix             # <<<<<<<<<<<<<<

 *

 * cdef extern from "smoothers.h":

 */

typedef SuperMatrix __pyx_t_10csmoothers_SuperMatrix;


/* "superluWrappers.pxd":67

 *     np.int32_t * rowptr

 *

 * cdef class cSparseMatrix(object):             # <<<<<<<<<<<<<<

 *     cdef np.int32_t dim[2]

 *     cdef _NRformat A

 */

struct __pyx_obj_7proteus_15superluWrappers_cSparseMatrix {

  PyObject_HEAD

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  struct __pyx_t_7proteus_15superluWrappers__NRformat A;

};


/* "csmoothers.pxd":25

 *     void cbasm_NR_solve "basm_NR_solve"(int rowBlocks, int N, superluWrappers._SuperMatrix *A, double w, double** subdomainL, int* subdomain_dim, int** l2g_L, double* R, double** subdomainR, int* node_order, double** subdomain_dX, double* dX, PROTEUS_LAPACK_INTEGER** subdomainPivots, PROTEUS_LAPACK_INTEGER** subdomainColPivots)

 *

 * cdef class cASMFactor(object):             # <<<<<<<<<<<<<<

 *     cdef int N

 *     cdef int *subdomain_dim

 */

struct __pyx_obj_10csmoothers_cASMFactor {

  PyObject_HEAD

  int N;

  int *subdomain_dim;

  int **l2g_L;

  double **subdomain_L;

  double **subdomain_R;

  double **subdomain_dX;

  __pyx_t_10csmoothers_PROTEUS_LAPACK_INTEGER **subdomain_pivots;

};


/* "csmoothers.pxd":34

 *     cdef PROTEUS_LAPACK_INTEGER **subdomain_pivots

 *

 * cdef class cBASMFactor(object):             # <<<<<<<<<<<<<<

 *     cdef int N

 *     cdef int bs

 */

struct __pyx_obj_10csmoothers_cBASMFactor {

  PyObject_HEAD

  int N;

  int bs;

  int *subdomain_dim;

  int **l2g_L;

  double **subdomain_L;

  double **subdomain_R;

  double **subdomain_dX;

  __pyx_t_10csmoothers_PROTEUS_LAPACK_INTEGER **subdomain_pivots;

  __pyx_t_10csmoothers_PROTEUS_LAPACK_INTEGER **subdomain_col_pivots;

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/* "View.MemoryView":105

 *

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 *

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struct __pyx_array_obj {

  PyObject_HEAD

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  Py_ssize_t len;

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  Py_ssize_t *_strides;

  Py_ssize_t itemsize;

  PyObject *mode;

  PyObject *_format;

  void (*callback_free_data)(void *);

  int free_data;

  int dtype_is_object;

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/* "View.MemoryView":279

 *

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 * cdef class Enum(object):             # <<<<<<<<<<<<<<

 *     cdef object name

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struct __pyx_MemviewEnum_obj {

  PyObject_HEAD

  PyObject *name;

};


/* "View.MemoryView":330

 *

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 * cdef class memoryview(object):             # <<<<<<<<<<<<<<

 *

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struct __pyx_memoryview_obj {

  PyObject_HEAD

  struct __pyx_vtabstruct_memoryview *__pyx_vtab;

  PyObject *obj;

  PyObject *_size;

  PyObject *_array_interface;

  PyThread_type_lock lock;

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  __Pyx_TypeInfo *typeinfo;

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/* "View.MemoryView":965

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struct __pyx_memoryviewslice_obj {

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/* "View.MemoryView":105

 *

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struct __pyx_vtabstruct_array {

  PyObject *(*get_memview)(struct __pyx_array_obj *);

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static struct __pyx_vtabstruct_array *__pyx_vtabptr_array;


/* "View.MemoryView":330

 *

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 * cdef class memoryview(object):             # <<<<<<<<<<<<<<

 *

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struct __pyx_vtabstruct_memoryview {

  char *(*get_item_pointer)(struct __pyx_memoryview_obj *, PyObject *);

  PyObject *(*is_slice)(struct __pyx_memoryview_obj *, PyObject *);

  PyObject *(*setitem_slice_assignment)(struct __pyx_memoryview_obj *, PyObject *, PyObject *);

  PyObject *(*setitem_slice_assign_scalar)(struct __pyx_memoryview_obj *, struct __pyx_memoryview_obj *, PyObject *);

  PyObject *(*setitem_indexed)(struct __pyx_memoryview_obj *, PyObject *, PyObject *);

  PyObject *(*convert_item_to_object)(struct __pyx_memoryview_obj *, char *);

  PyObject *(*assign_item_from_object)(struct __pyx_memoryview_obj *, char *, PyObject *);

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static struct __pyx_vtabstruct_memoryview *__pyx_vtabptr_memoryview;


/* "View.MemoryView":965

 *

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 * cdef class _memoryviewslice(memoryview):             # <<<<<<<<<<<<<<

 *     "Internal class for passing memoryview slices to Python"

 *

 */


struct __pyx_vtabstruct__memoryviewslice {

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static struct __pyx_vtabstruct__memoryviewslice *__pyx_vtabptr__memoryviewslice;


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/* PyObjectCall.proto */

#if CYTHON_COMPILING_IN_CPYTHON

static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);

#else

#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)

#endif


/* PyObjectCallMethO.proto */

#if CYTHON_COMPILING_IN_CPYTHON

static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);

#endif


/* PyObjectCallOneArg.proto */

static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);


/* ArgTypeTest.proto */

#define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\

    ((likely((Py_TYPE(obj) == type) | (none_allowed && (obj == Py_None)))) ? 1 :\

        __Pyx__ArgTypeTest(obj, type, name, exact))

static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact);


/* PyThreadStateGet.proto */

#if CYTHON_FAST_THREAD_STATE

#define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;

#define __Pyx_PyThreadState_assign  __pyx_tstate = __Pyx_PyThreadState_Current;

#define __Pyx_PyErr_Occurred()  __pyx_tstate->curexc_type

#else

#define __Pyx_PyThreadState_declare

#define __Pyx_PyThreadState_assign

#define __Pyx_PyErr_Occurred()  PyErr_Occurred()

#endif


/* PyErrFetchRestore.proto */

#if CYTHON_FAST_THREAD_STATE

#define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL)

#define __Pyx_ErrRestoreWithState(type, value, tb)  __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)

#define __Pyx_ErrFetchWithState(type, value, tb)    __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb)

#define __Pyx_ErrRestore(type, value, tb)  __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb)

#define __Pyx_ErrFetch(type, value, tb)    __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb)

static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);

static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);

#if CYTHON_COMPILING_IN_CPYTHON

#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))

#else

#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)

#endif

#else

#define __Pyx_PyErr_Clear() PyErr_Clear()

#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)

#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)

#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)

#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)

#define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)

#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)

#define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)

#endif


/* RaiseException.proto */

static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);


/* ExtTypeTest.proto */

static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type);


/* MemviewSliceInit.proto */

#define __Pyx_BUF_MAX_NDIMS %(BUF_MAX_NDIMS)d

#define __Pyx_MEMVIEW_DIRECT   1

#define __Pyx_MEMVIEW_PTR      2

#define __Pyx_MEMVIEW_FULL     4

#define __Pyx_MEMVIEW_CONTIG   8

#define __Pyx_MEMVIEW_STRIDED  16

#define __Pyx_MEMVIEW_FOLLOW   32

#define __Pyx_IS_C_CONTIG 1

#define __Pyx_IS_F_CONTIG 2

static int __Pyx_init_memviewslice(

                struct __pyx_memoryview_obj *memview,

                int ndim,

                __Pyx_memviewslice *memviewslice,

                int memview_is_new_reference);

static CYTHON_INLINE int __pyx_add_acquisition_count_locked(

    __pyx_atomic_int *acquisition_count, PyThread_type_lock lock);

static CYTHON_INLINE int __pyx_sub_acquisition_count_locked(

    __pyx_atomic_int *acquisition_count, PyThread_type_lock lock);

#define __pyx_get_slice_count_pointer(memview) (memview->acquisition_count_aligned_p)

#define __pyx_get_slice_count(memview) (*__pyx_get_slice_count_pointer(memview))

#define __PYX_INC_MEMVIEW(slice, have_gil) __Pyx_INC_MEMVIEW(slice, have_gil, __LINE__)

#define __PYX_XDEC_MEMVIEW(slice, have_gil) __Pyx_XDEC_MEMVIEW(slice, have_gil, __LINE__)

static CYTHON_INLINE void __Pyx_INC_MEMVIEW(__Pyx_memviewslice *, int, int);

static CYTHON_INLINE void __Pyx_XDEC_MEMVIEW(__Pyx_memviewslice *, int, int);


/* BufferIndexError.proto */

static void __Pyx_RaiseBufferIndexError(int axis);


/* WriteUnraisableException.proto */

static void __Pyx_WriteUnraisable(const char *name, int clineno,

                                  int lineno, const char *filename,

                                  int full_traceback, int nogil);


/* GetTopmostException.proto */

#if CYTHON_USE_EXC_INFO_STACK

static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);

#endif


/* SaveResetException.proto */

#if CYTHON_FAST_THREAD_STATE

#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)

static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);

#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)

static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);

#else

#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)

#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)

#endif


/* PyErrExceptionMatches.proto */

#if CYTHON_FAST_THREAD_STATE

#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)

static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);

#else

#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)

#endif


/* GetException.proto */

#if CYTHON_FAST_THREAD_STATE

#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)

static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);

#else

static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);

#endif


/* PyObjectCall2Args.proto */

static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2);


/* IncludeStringH.proto */

#include <string.h>


/* BytesEquals.proto */

static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals);


/* UnicodeEquals.proto */

static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals);


/* StrEquals.proto */

#if PY_MAJOR_VERSION >= 3

#define __Pyx_PyString_Equals __Pyx_PyUnicode_Equals

#else

#define __Pyx_PyString_Equals __Pyx_PyBytes_Equals

#endif


/* None.proto */

static CYTHON_INLINE Py_ssize_t __Pyx_div_Py_ssize_t(Py_ssize_t, Py_ssize_t);


/* UnaryNegOverflows.proto */

#define UNARY_NEG_WOULD_OVERFLOW(x)\

        (((x) < 0) & ((unsigned long)(x) == 0-(unsigned long)(x)))


static CYTHON_UNUSED int __pyx_array_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/

static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *); /*proto*/

/* GetAttr.proto */

static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *, PyObject *);


/* GetItemInt.proto */

#define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\

    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\

    __Pyx_GetItemInt_Fast(o, (Py_ssize_t)i, is_list, wraparound, boundscheck) :\

    (is_list ? (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL) :\

               __Pyx_GetItemInt_Generic(o, to_py_func(i))))

#define __Pyx_GetItemInt_List(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\

    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\

    __Pyx_GetItemInt_List_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\

    (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))

static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,

                                                              int wraparound, int boundscheck);

#define __Pyx_GetItemInt_Tuple(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\

    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\

    __Pyx_GetItemInt_Tuple_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\

    (PyErr_SetString(PyExc_IndexError, "tuple index out of range"), (PyObject*)NULL))

static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,

                                                              int wraparound, int boundscheck);

static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j);

static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,

                                                     int is_list, int wraparound, int boundscheck);


/* ObjectGetItem.proto */

#if CYTHON_USE_TYPE_SLOTS

static CYTHON_INLINE PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key);

#else

#define __Pyx_PyObject_GetItem(obj, key)  PyObject_GetItem(obj, key)

#endif


/* decode_c_string_utf16.proto */

static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16(const char *s, Py_ssize_t size, const char *errors) {

    int byteorder = 0;

    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);

}

static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16LE(const char *s, Py_ssize_t size, const char *errors) {

    int byteorder = -1;

    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);

}

static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16BE(const char *s, Py_ssize_t size, const char *errors) {

    int byteorder = 1;

    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);

}


/* decode_c_string.proto */

static CYTHON_INLINE PyObject* __Pyx_decode_c_string(

         const char* cstring, Py_ssize_t start, Py_ssize_t stop,

         const char* encoding, const char* errors,

         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors));


/* GetAttr3.proto */

static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *, PyObject *, PyObject *);


/* PyDictVersioning.proto */

#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS

#define __PYX_DICT_VERSION_INIT  ((PY_UINT64_T) -1)

#define __PYX_GET_DICT_VERSION(dict)  (((PyDictObject*)(dict))->ma_version_tag)

#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\

    (version_var) = __PYX_GET_DICT_VERSION(dict);\

    (cache_var) = (value);

#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\

    static PY_UINT64_T __pyx_dict_version = 0;\

    static PyObject *__pyx_dict_cached_value = NULL;\

    if (likely(__PYX_GET_DICT_VERSION(DICT) == __pyx_dict_version)) {\

        (VAR) = __pyx_dict_cached_value;\

    } else {\

        (VAR) = __pyx_dict_cached_value = (LOOKUP);\

        __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\

    }\

}

static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj);

static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj);

static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version);

#else

#define __PYX_GET_DICT_VERSION(dict)  (0)

#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)

#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP)  (VAR) = (LOOKUP);

#endif


/* GetModuleGlobalName.proto */

#if CYTHON_USE_DICT_VERSIONS

#define __Pyx_GetModuleGlobalName(var, name)  {\

    static PY_UINT64_T __pyx_dict_version = 0;\

    static PyObject *__pyx_dict_cached_value = NULL;\

    (var) = (likely(__pyx_dict_version == __PYX_GET_DICT_VERSION(__pyx_d))) ?\

        (likely(__pyx_dict_cached_value) ? __Pyx_NewRef(__pyx_dict_cached_value) : __Pyx_GetBuiltinName(name)) :\

        __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\

}

#define __Pyx_GetModuleGlobalNameUncached(var, name)  {\

    PY_UINT64_T __pyx_dict_version;\

    PyObject *__pyx_dict_cached_value;\

    (var) = __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\

}

static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value);

#else

#define __Pyx_GetModuleGlobalName(var, name)  (var) = __Pyx__GetModuleGlobalName(name)

#define __Pyx_GetModuleGlobalNameUncached(var, name)  (var) = __Pyx__GetModuleGlobalName(name)

static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name);

#endif


/* RaiseTooManyValuesToUnpack.proto */

static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);


/* RaiseNeedMoreValuesToUnpack.proto */

static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);


/* RaiseNoneIterError.proto */

static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);


/* SwapException.proto */

#if CYTHON_FAST_THREAD_STATE

#define __Pyx_ExceptionSwap(type, value, tb)  __Pyx__ExceptionSwap(__pyx_tstate, type, value, tb)

static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);

#else

static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb);

#endif


/* Import.proto */

static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);


/* FastTypeChecks.proto */

#if CYTHON_COMPILING_IN_CPYTHON

#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)

static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);

static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);

static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);

#else

#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)

#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)

#define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2))

#endif

#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)


static CYTHON_UNUSED int __pyx_memoryview_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/

/* ListCompAppend.proto */

#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS

static CYTHON_INLINE int __Pyx_ListComp_Append(PyObject* list, PyObject* x) {

    PyListObject* L = (PyListObject*) list;

    Py_ssize_t len = Py_SIZE(list);

    if (likely(L->allocated > len)) {

        Py_INCREF(x);

        PyList_SET_ITEM(list, len, x);

        __Pyx_SET_SIZE(list, len + 1);

        return 0;

    }

    return PyList_Append(list, x);

}

#else

#define __Pyx_ListComp_Append(L,x) PyList_Append(L,x)

#endif


/* PyIntBinop.proto */

#if !CYTHON_COMPILING_IN_PYPY

static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);

#else

#define __Pyx_PyInt_AddObjC(op1, op2, intval, inplace, zerodivision_check)\

    (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2))

#endif


/* ListExtend.proto */

static CYTHON_INLINE int __Pyx_PyList_Extend(PyObject* L, PyObject* v) {

#if CYTHON_COMPILING_IN_CPYTHON

    PyObject* none = _PyList_Extend((PyListObject*)L, v);

    if (unlikely(!none))

        return -1;

    Py_DECREF(none);

    return 0;

#else

    return PyList_SetSlice(L, PY_SSIZE_T_MAX, PY_SSIZE_T_MAX, v);

#endif

}


/* ListAppend.proto */

#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS

static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x) {

    PyListObject* L = (PyListObject*) list;

    Py_ssize_t len = Py_SIZE(list);

    if (likely(L->allocated > len) & likely(len > (L->allocated >> 1))) {

        Py_INCREF(x);

        PyList_SET_ITEM(list, len, x);

        __Pyx_SET_SIZE(list, len + 1);

        return 0;

    }

    return PyList_Append(list, x);

}

#else

#define __Pyx_PyList_Append(L,x) PyList_Append(L,x)

#endif


/* None.proto */

static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname);


/* None.proto */

static CYTHON_INLINE long __Pyx_div_long(long, long);


/* ImportFrom.proto */

static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name);


/* HasAttr.proto */

static CYTHON_INLINE int __Pyx_HasAttr(PyObject *, PyObject *);


/* PyObject_GenericGetAttrNoDict.proto */

#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000

static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name);

#else

#define __Pyx_PyObject_GenericGetAttrNoDict PyObject_GenericGetAttr

#endif


/* PyObject_GenericGetAttr.proto */

#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000

static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name);

#else

#define __Pyx_PyObject_GenericGetAttr PyObject_GenericGetAttr

#endif


/* PyObjectGetAttrStrNoError.proto */

static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name);


/* SetupReduce.proto */

static int __Pyx_setup_reduce(PyObject* type_obj);


/* SetVTable.proto */

static int __Pyx_SetVtable(PyObject *dict, void *vtable);


/* TypeImport.proto */

#ifndef __PYX_HAVE_RT_ImportType_proto

#define __PYX_HAVE_RT_ImportType_proto

enum __Pyx_ImportType_CheckSize {

   __Pyx_ImportType_CheckSize_Error = 0,

   __Pyx_ImportType_CheckSize_Warn = 1,

   __Pyx_ImportType_CheckSize_Ignore = 2

};

static PyTypeObject *__Pyx_ImportType(PyObject* module, const char *module_name, const char *class_name, size_t size, enum __Pyx_ImportType_CheckSize check_size);

#endif


/* CalculateMetaclass.proto */

static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases);


/* FetchCommonType.proto */

static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);


/* CythonFunctionShared.proto */

#define __Pyx_CyFunction_USED 1

#define __Pyx_CYFUNCTION_STATICMETHOD  0x01

#define __Pyx_CYFUNCTION_CLASSMETHOD   0x02

#define __Pyx_CYFUNCTION_CCLASS        0x04

#define __Pyx_CyFunction_GetClosure(f)\

    (((__pyx_CyFunctionObject *) (f))->func_closure)

#define __Pyx_CyFunction_GetClassObj(f)\

    (((__pyx_CyFunctionObject *) (f))->func_classobj)

#define __Pyx_CyFunction_Defaults(type, f)\

    ((type *)(((__pyx_CyFunctionObject *) (f))->defaults))

#define __Pyx_CyFunction_SetDefaultsGetter(f, g)\

    ((__pyx_CyFunctionObject *) (f))->defaults_getter = (g)

typedef struct {

    PyCFunctionObject func;

#if PY_VERSION_HEX < 0x030500A0

    PyObject *func_weakreflist;

#endif

    PyObject *func_dict;

    PyObject *func_name;

    PyObject *func_qualname;

    PyObject *func_doc;

    PyObject *func_globals;

    PyObject *func_code;

    PyObject *func_closure;

    PyObject *func_classobj;

    void *defaults;

    int defaults_pyobjects;

    size_t defaults_size;  // used by FusedFunction for copying defaults

    int flags;

    PyObject *defaults_tuple;

    PyObject *defaults_kwdict;

    PyObject *(*defaults_getter)(PyObject *);

    PyObject *func_annotations;

} __pyx_CyFunctionObject;

static PyTypeObject *__pyx_CyFunctionType = 0;

#define __Pyx_CyFunction_Check(obj)  (__Pyx_TypeCheck(obj, __pyx_CyFunctionType))

static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject* op, PyMethodDef *ml,

                                      int flags, PyObject* qualname,

                                      PyObject *self,

                                      PyObject *module, PyObject *globals,

                                      PyObject* code);

static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *m,

                                                         size_t size,

                                                         int pyobjects);

static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *m,

                                                            PyObject *tuple);

static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m,

                                                             PyObject *dict);

static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m,

                                                              PyObject *dict);

static int __pyx_CyFunction_init(void);


/* CythonFunction.proto */

static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml,

                                      int flags, PyObject* qualname,

                                      PyObject *closure,

                                      PyObject *module, PyObject *globals,

                                      PyObject* code);


/* SetNameInClass.proto */

#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1

#define __Pyx_SetNameInClass(ns, name, value)\

    (likely(PyDict_CheckExact(ns)) ? _PyDict_SetItem_KnownHash(ns, name, value, ((PyASCIIObject *) name)->hash) : PyObject_SetItem(ns, name, value))

#elif CYTHON_COMPILING_IN_CPYTHON

#define __Pyx_SetNameInClass(ns, name, value)\

    (likely(PyDict_CheckExact(ns)) ? PyDict_SetItem(ns, name, value) : PyObject_SetItem(ns, name, value))

#else

#define __Pyx_SetNameInClass(ns, name, value)  PyObject_SetItem(ns, name, value)

#endif


/* Py3ClassCreate.proto */

static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name, PyObject *qualname,

                                           PyObject *mkw, PyObject *modname, PyObject *doc);

static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases, PyObject *dict,

                                      PyObject *mkw, int calculate_metaclass, int allow_py2_metaclass);


/* CLineInTraceback.proto */

#ifdef CYTHON_CLINE_IN_TRACEBACK

#define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)

#else

static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);

#endif


/* CodeObjectCache.proto */

typedef struct {

    PyCodeObject* code_object;

    int code_line;

} __Pyx_CodeObjectCacheEntry;

struct __Pyx_CodeObjectCache {

    int count;

    int max_count;

    __Pyx_CodeObjectCacheEntry* entries;

};

static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};

static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);

static PyCodeObject *__pyx_find_code_object(int code_line);

static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);


/* AddTraceback.proto */

static void __Pyx_AddTraceback(const char *funcname, int c_line,

                               int py_line, const char *filename);


#if PY_MAJOR_VERSION < 3

    static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags);

    static void __Pyx_ReleaseBuffer(Py_buffer *view);

#else

    #define __Pyx_GetBuffer PyObject_GetBuffer

    #define __Pyx_ReleaseBuffer PyBuffer_Release

#endif


/* BufferStructDeclare.proto */

typedef struct {

  Py_ssize_t shape, strides, suboffsets;

} __Pyx_Buf_DimInfo;

typedef struct {

  size_t refcount;

  Py_buffer pybuffer;

} __Pyx_Buffer;

typedef struct {

  __Pyx_Buffer *rcbuffer;

  char *data;

  __Pyx_Buf_DimInfo diminfo[8];

} __Pyx_LocalBuf_ND;


/* MemviewSliceIsContig.proto */

static int __pyx_memviewslice_is_contig(const __Pyx_memviewslice mvs, char order, int ndim);


/* OverlappingSlices.proto */

static int __pyx_slices_overlap(__Pyx_memviewslice *slice1,

                                __Pyx_memviewslice *slice2,

                                int ndim, size_t itemsize);


/* Capsule.proto */

static CYTHON_INLINE PyObject *__pyx_capsule_create(void *p, const char *sig);


/* GCCDiagnostics.proto */

#if defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6))

#define __Pyx_HAS_GCC_DIAGNOSTIC

#endif


/* IsLittleEndian.proto */

static CYTHON_INLINE int __Pyx_Is_Little_Endian(void);


/* BufferFormatCheck.proto */

static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts);

static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,

                              __Pyx_BufFmt_StackElem* stack,

                              __Pyx_TypeInfo* type);


/* TypeInfoCompare.proto */

static int __pyx_typeinfo_cmp(__Pyx_TypeInfo *a, __Pyx_TypeInfo *b);


/* MemviewSliceValidateAndInit.proto */

static int __Pyx_ValidateAndInit_memviewslice(

                int *axes_specs,

                int c_or_f_flag,

                int buf_flags,

                int ndim,

                __Pyx_TypeInfo *dtype,

                __Pyx_BufFmt_StackElem stack[],

                __Pyx_memviewslice *memviewslice,

                PyObject *original_obj);


/* ObjectToMemviewSlice.proto */

static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds_double(PyObject *, int writable_flag);


/* ObjectToMemviewSlice.proto */

static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds_int(PyObject *, int writable_flag);


/* RealImag.proto */

#if CYTHON_CCOMPLEX

  #ifdef __cplusplus

    #define __Pyx_CREAL(z) ((z).real())

    #define __Pyx_CIMAG(z) ((z).imag())

  #else

    #define __Pyx_CREAL(z) (__real__(z))

    #define __Pyx_CIMAG(z) (__imag__(z))

  #endif

#else

    #define __Pyx_CREAL(z) ((z).real)

    #define __Pyx_CIMAG(z) ((z).imag)

#endif

#if defined(__cplusplus) && CYTHON_CCOMPLEX\

        && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103)

    #define __Pyx_SET_CREAL(z,x) ((z).real(x))

    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))

#else

    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)

    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)

#endif


/* Arithmetic.proto */

#if CYTHON_CCOMPLEX

    #define __Pyx_c_eq_float(a, b)   ((a)==(b))

    #define __Pyx_c_sum_float(a, b)  ((a)+(b))

    #define __Pyx_c_diff_float(a, b) ((a)-(b))

    #define __Pyx_c_prod_float(a, b) ((a)*(b))

    #define __Pyx_c_quot_float(a, b) ((a)/(b))

    #define __Pyx_c_neg_float(a)     (-(a))

  #ifdef __cplusplus

    #define __Pyx_c_is_zero_float(z) ((z)==(float)0)

    #define __Pyx_c_conj_float(z)    (::std::conj(z))

    #if 1

        #define __Pyx_c_abs_float(z)     (::std::abs(z))

        #define __Pyx_c_pow_float(a, b)  (::std::pow(a, b))

    #endif

  #else

    #define __Pyx_c_is_zero_float(z) ((z)==0)

    #define __Pyx_c_conj_float(z)    (conjf(z))

    #if 1

        #define __Pyx_c_abs_float(z)     (cabsf(z))

        #define __Pyx_c_pow_float(a, b)  (cpowf(a, b))

    #endif

 #endif

#else

    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex, __pyx_t_float_complex);

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex, __pyx_t_float_complex);

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex, __pyx_t_float_complex);

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex, __pyx_t_float_complex);

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex, __pyx_t_float_complex);

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex);

    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex);

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex);

    #if 1

        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex);

        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex, __pyx_t_float_complex);

    #endif

#endif


/* Arithmetic.proto */

#if CYTHON_CCOMPLEX

    #define __Pyx_c_eq_double(a, b)   ((a)==(b))

    #define __Pyx_c_sum_double(a, b)  ((a)+(b))

    #define __Pyx_c_diff_double(a, b) ((a)-(b))

    #define __Pyx_c_prod_double(a, b) ((a)*(b))

    #define __Pyx_c_quot_double(a, b) ((a)/(b))

    #define __Pyx_c_neg_double(a)     (-(a))

  #ifdef __cplusplus

    #define __Pyx_c_is_zero_double(z) ((z)==(double)0)

    #define __Pyx_c_conj_double(z)    (::std::conj(z))

    #if 1

        #define __Pyx_c_abs_double(z)     (::std::abs(z))

        #define __Pyx_c_pow_double(a, b)  (::std::pow(a, b))

    #endif

  #else

    #define __Pyx_c_is_zero_double(z) ((z)==0)

    #define __Pyx_c_conj_double(z)    (conj(z))

    #if 1

        #define __Pyx_c_abs_double(z)     (cabs(z))

        #define __Pyx_c_pow_double(a, b)  (cpow(a, b))

    #endif

 #endif

#else

    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex);

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex);

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex);

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex);

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex);

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex);

    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex);

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex);

    #if 1

        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex);

        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex);

    #endif

#endif


/* MemviewSliceCopyTemplate.proto */

static __Pyx_memviewslice

__pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,

                                 const char *mode, int ndim,

                                 size_t sizeof_dtype, int contig_flag,

                                 int dtype_is_object);


/* CIntFromPy.proto */

static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);


/* CIntFromPy.proto */

static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);


/* CIntToPy.proto */

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);


/* CIntToPy.proto */

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);


/* CIntFromPy.proto */

static CYTHON_INLINE char __Pyx_PyInt_As_char(PyObject *);


/* CheckBinaryVersion.proto */

static int __Pyx_check_binary_version(void);


/* InitStrings.proto */

static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);


static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *__pyx_v_self); /* proto*/

static char *__pyx_memoryview_get_item_pointer(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto*/

static PyObject *__pyx_memoryview_is_slice(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj); /* proto*/

static PyObject *__pyx_memoryview_setitem_slice_assignment(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_dst, PyObject *__pyx_v_src); /* proto*/

static PyObject *__pyx_memoryview_setitem_slice_assign_scalar(struct __pyx_memoryview_obj *__pyx_v_self, struct __pyx_memoryview_obj *__pyx_v_dst, PyObject *__pyx_v_value); /* proto*/

static PyObject *__pyx_memoryview_setitem_indexed(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto*/

static PyObject *__pyx_memoryview_convert_item_to_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/

static PyObject *__pyx_memoryview_assign_item_from_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/

static PyObject *__pyx_memoryviewslice_convert_item_to_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/

static PyObject *__pyx_memoryviewslice_assign_item_from_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/


/* Module declarations from 'proteus' */


/* Module declarations from 'cpython.buffer' */


/* Module declarations from 'libc.string' */


/* Module declarations from 'libc.stdio' */


/* Module declarations from '__builtin__' */


/* Module declarations from 'cpython.type' */

static PyTypeObject *__pyx_ptype_7cpython_4type_type = 0;


/* Module declarations from 'cpython' */


/* Module declarations from 'cpython.object' */


/* Module declarations from 'cpython.ref' */


/* Module declarations from 'cpython.mem' */


/* Module declarations from 'numpy' */


/* Module declarations from 'numpy' */

static PyTypeObject *__pyx_ptype_5numpy_dtype = 0;

static PyTypeObject *__pyx_ptype_5numpy_flatiter = 0;

static PyTypeObject *__pyx_ptype_5numpy_broadcast = 0;

static PyTypeObject *__pyx_ptype_5numpy_ndarray = 0;

static PyTypeObject *__pyx_ptype_5numpy_generic = 0;

static PyTypeObject *__pyx_ptype_5numpy_number = 0;

static PyTypeObject *__pyx_ptype_5numpy_integer = 0;

static PyTypeObject *__pyx_ptype_5numpy_signedinteger = 0;

static PyTypeObject *__pyx_ptype_5numpy_unsignedinteger = 0;

static PyTypeObject *__pyx_ptype_5numpy_inexact = 0;

static PyTypeObject *__pyx_ptype_5numpy_floating = 0;

static PyTypeObject *__pyx_ptype_5numpy_complexfloating = 0;

static PyTypeObject *__pyx_ptype_5numpy_flexible = 0;

static PyTypeObject *__pyx_ptype_5numpy_character = 0;

static PyTypeObject *__pyx_ptype_5numpy_ufunc = 0;


/* Module declarations from 'proteus.superluWrappers' */

static PyTypeObject *__pyx_ptype_7proteus_15superluWrappers_cSparseMatrix = 0;


/* Module declarations from 'cython.view' */


/* Module declarations from 'cython' */


/* Module declarations from 'csmoothers' */

static PyTypeObject *__pyx_ptype_10csmoothers_cASMFactor = 0;

static PyTypeObject *__pyx_ptype_10csmoothers_cBASMFactor = 0;

static PyTypeObject *__pyx_array_type = 0;

static PyTypeObject *__pyx_MemviewEnum_type = 0;

static PyTypeObject *__pyx_memoryview_type = 0;

static PyTypeObject *__pyx_memoryviewslice_type = 0;

static PyObject *generic = 0;

static PyObject *strided = 0;

static PyObject *indirect = 0;

static PyObject *contiguous = 0;

static PyObject *indirect_contiguous = 0;

static int __pyx_memoryview_thread_locks_used;

static PyThread_type_lock __pyx_memoryview_thread_locks[8];

static void __pyx_f_10csmoothers_smootherWrappersjacobi_NR_prepare(struct __pyx_obj_7proteus_15superluWrappers_cSparseMatrix *, double, double, __pyx_t_10csmoothers_DDATA); /*proto*/

static void __pyx_f_10csmoothers_smootherWrappersjacobi_NR_solve(struct __pyx_obj_7proteus_15superluWrappers_cSparseMatrix *, __pyx_t_10csmoothers_DDATA, __pyx_t_10csmoothers_DDATA, __pyx_t_10csmoothers_IDATA, __pyx_t_10csmoothers_DDATA); /*proto*/

static void __pyx_f_10csmoothers_smootherWrappersnl_jacobi_NR_solve(struct __pyx_obj_7proteus_15superluWrappers_cSparseMatrix *, __pyx_t_10csmoothers_DDATA, __pyx_t_10csmoothers_IDATA, double, double, __pyx_t_10csmoothers_DDATA); /*proto*/

static void __pyx_f_10csmoothers_smootherWrappersgauss_seidel_NR_prepare(struct __pyx_obj_7proteus_15superluWrappers_cSparseMatrix *, double, double, __pyx_t_10csmoothers_DDATA); /*proto*/

static void __pyx_f_10csmoothers_smootherWrappersgauss_seidel_NR_solve(struct __pyx_obj_7proteus_15superluWrappers_cSparseMatrix *, __pyx_t_10csmoothers_DDATA, __pyx_t_10csmoothers_DDATA, __pyx_t_10csmoothers_IDATA, __pyx_t_10csmoothers_DDATA); /*proto*/

static PyObject *__pyx_f_10csmoothers_smootherWrappers_nl_gauss_seidel_NR_solve(struct __pyx_obj_7proteus_15superluWrappers_cSparseMatrix *, __pyx_t_10csmoothers_DDATA, __pyx_t_10csmoothers_IDATA, double, double, __pyx_t_10csmoothers_DDATA); /*proto*/

static void __pyx_f_10csmoothers_smootherWrappers_asm_NR_prepare(struct __pyx_obj_7proteus_15superluWrappers_cSparseMatrix *, struct __pyx_obj_10csmoothers_cASMFactor *); /*proto*/

static void __pyx_f_10csmoothers_smootherWrappers_asm_NR_solve(struct __pyx_obj_7proteus_15superluWrappers_cSparseMatrix *, double, struct __pyx_obj_10csmoothers_cASMFactor *, __pyx_t_10csmoothers_IDATA, __pyx_t_10csmoothers_DDATA, __pyx_t_10csmoothers_DDATA); /*proto*/

static void __pyx_f_10csmoothers_smootherWrappers_basm_NR_prepare(struct __pyx_obj_7proteus_15superluWrappers_cSparseMatrix *, struct __pyx_obj_10csmoothers_cBASMFactor *); /*proto*/

static void __pyx_f_10csmoothers_smootherWrappers_basm_NR_solve(struct __pyx_obj_7proteus_15superluWrappers_cSparseMatrix *, double, struct __pyx_obj_10csmoothers_cBASMFactor *, __pyx_t_10csmoothers_IDATA, __pyx_t_10csmoothers_DDATA, __pyx_t_10csmoothers_DDATA); /*proto*/

static struct __pyx_array_obj *__pyx_array_new(PyObject *, Py_ssize_t, char *, char *, char *); /*proto*/

static void *__pyx_align_pointer(void *, size_t); /*proto*/

static PyObject *__pyx_memoryview_new(PyObject *, int, int, __Pyx_TypeInfo *); /*proto*/

static CYTHON_INLINE int __pyx_memoryview_check(PyObject *); /*proto*/

static PyObject *_unellipsify(PyObject *, int); /*proto*/

static PyObject *assert_direct_dimensions(Py_ssize_t *, int); /*proto*/

static struct __pyx_memoryview_obj *__pyx_memview_slice(struct __pyx_memoryview_obj *, PyObject *); /*proto*/

static int __pyx_memoryview_slice_memviewslice(__Pyx_memviewslice *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int, int); /*proto*/

static char *__pyx_pybuffer_index(Py_buffer *, char *, Py_ssize_t, Py_ssize_t); /*proto*/

static int __pyx_memslice_transpose(__Pyx_memviewslice *); /*proto*/

static PyObject *__pyx_memoryview_fromslice(__Pyx_memviewslice, int, PyObject *(*)(char *), int (*)(char *, PyObject *), int); /*proto*/

static __Pyx_memviewslice *__pyx_memoryview_get_slice_from_memoryview(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/

static void __pyx_memoryview_slice_copy(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/

static PyObject *__pyx_memoryview_copy_object(struct __pyx_memoryview_obj *); /*proto*/

static PyObject *__pyx_memoryview_copy_object_from_slice(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/

static Py_ssize_t abs_py_ssize_t(Py_ssize_t); /*proto*/

static char __pyx_get_best_slice_order(__Pyx_memviewslice *, int); /*proto*/

static void _copy_strided_to_strided(char *, Py_ssize_t *, char *, Py_ssize_t *, Py_ssize_t *, Py_ssize_t *, int, size_t); /*proto*/

static void copy_strided_to_strided(__Pyx_memviewslice *, __Pyx_memviewslice *, int, size_t); /*proto*/

static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *, int); /*proto*/

static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *, Py_ssize_t *, Py_ssize_t, int, char); /*proto*/

static void *__pyx_memoryview_copy_data_to_temp(__Pyx_memviewslice *, __Pyx_memviewslice *, char, int); /*proto*/

static int __pyx_memoryview_err_extents(int, Py_ssize_t, Py_ssize_t); /*proto*/

static int __pyx_memoryview_err_dim(PyObject *, char *, int); /*proto*/

static int __pyx_memoryview_err(PyObject *, char *); /*proto*/

static int __pyx_memoryview_copy_contents(__Pyx_memviewslice, __Pyx_memviewslice, int, int, int); /*proto*/

static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *, int, int); /*proto*/

static void __pyx_memoryview_refcount_copying(__Pyx_memviewslice *, int, int, int); /*proto*/

static void __pyx_memoryview_refcount_objects_in_slice_with_gil(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/

static void __pyx_memoryview_refcount_objects_in_slice(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/

static void __pyx_memoryview_slice_assign_scalar(__Pyx_memviewslice *, int, size_t, void *, int); /*proto*/

static void __pyx_memoryview__slice_assign_scalar(char *, Py_ssize_t *, Py_ssize_t *, int, size_t, void *); /*proto*/

static PyObject *__pyx_unpickle_Enum__set_state(struct __pyx_MemviewEnum_obj *, PyObject *); /*proto*/

static __Pyx_TypeInfo __Pyx_TypeInfo_double = { "double", NULL, sizeof(double), { 0 }, 0, 'R', 0, 0 };

static __Pyx_TypeInfo __Pyx_TypeInfo_int = { "int", NULL, sizeof(int), { 0 }, 0, IS_UNSIGNED(int) ? 'U' : 'I', IS_UNSIGNED(int), 0 };

#define __Pyx_MODULE_NAME "csmoothers"

extern int __pyx_module_is_main_csmoothers;

int __pyx_module_is_main_csmoothers = 0;


/* Implementation of 'csmoothers' */

static PyObject *__pyx_builtin_object;

static PyObject *__pyx_builtin_TypeError;

static PyObject *__pyx_builtin_ImportError;

static PyObject *__pyx_builtin_ValueError;

static PyObject *__pyx_builtin_MemoryError;

static PyObject *__pyx_builtin_enumerate;

static PyObject *__pyx_builtin_range;

static PyObject *__pyx_builtin_Ellipsis;

static PyObject *__pyx_builtin_id;

static PyObject *__pyx_builtin_IndexError;

static const char __pyx_k_A[] = "A";

static const char __pyx_k_L[] = "L";

static const char __pyx_k_M[] = "M";

static const char __pyx_k_O[] = "O";

static const char __pyx_k_R[] = "R";

static const char __pyx_k_c[] = "c";

static const char __pyx_k_w[] = "w";

static const char __pyx_k_bs[] = "bs";

static const char __pyx_k_dX[] = "dX";

static const char __pyx_k_id[] = "id";

static const char __pyx_k_nc[] = "nc";

static const char __pyx_k_np[] = "np";

static const char __pyx_k_nr[] = "nr";

static const char __pyx_k_doc[] = "__doc__";

static const char __pyx_k_new[] = "__new__";

static const char __pyx_k_obj[] = "obj";

static const char __pyx_k_tol[] = "tol";

static const char __pyx_k_base[] = "base";

static const char __pyx_k_dict[] = "__dict__";

static const char __pyx_k_init[] = "__init__";

static const char __pyx_k_main[] = "__main__";

static const char __pyx_k_mode[] = "mode";

static const char __pyx_k_name[] = "name";

static const char __pyx_k_ndim[] = "ndim";

static const char __pyx_k_pack[] = "pack";

static const char __pyx_k_self[] = "self";

static const char __pyx_k_size[] = "size";

static const char __pyx_k_step[] = "step";

static const char __pyx_k_stop[] = "stop";

static const char __pyx_k_test[] = "__test__";

static const char __pyx_k_ASCII[] = "ASCII";

static const char __pyx_k_class[] = "__class__";

static const char __pyx_k_error[] = "error";

static const char __pyx_k_flags[] = "flags";

static const char __pyx_k_numpy[] = "numpy";

static const char __pyx_k_range[] = "range";

static const char __pyx_k_shape[] = "shape";

static const char __pyx_k_start[] = "start";

static const char __pyx_k_encode[] = "encode";

static const char __pyx_k_format[] = "format";

static const char __pyx_k_import[] = "__import__";

static const char __pyx_k_module[] = "__module__";

static const char __pyx_k_name_2[] = "__name__";

static const char __pyx_k_object[] = "object";

static const char __pyx_k_pickle[] = "pickle";

static const char __pyx_k_reduce[] = "__reduce__";

static const char __pyx_k_struct[] = "struct";

static const char __pyx_k_unpack[] = "unpack";

static const char __pyx_k_update[] = "update";

static const char __pyx_k_fortran[] = "fortran";

static const char __pyx_k_memview[] = "memview";

static const char __pyx_k_prepare[] = "__prepare__";

static const char __pyx_k_Ellipsis[] = "Ellipsis";

static const char __pyx_k_getstate[] = "__getstate__";

static const char __pyx_k_itemsize[] = "itemsize";

static const char __pyx_k_pyx_type[] = "__pyx_type";

static const char __pyx_k_qualname[] = "__qualname__";

static const char __pyx_k_setstate[] = "__setstate__";

static const char __pyx_k_ASMFactor[] = "ASMFactor";

static const char __pyx_k_TypeError[] = "TypeError";

static const char __pyx_k_asmFactor[] = "asmFactor";

static const char __pyx_k_enumerate[] = "enumerate";

static const char __pyx_k_metaclass[] = "__metaclass__";

static const char __pyx_k_pyx_state[] = "__pyx_state";

static const char __pyx_k_reduce_ex[] = "__reduce_ex__";

static const char __pyx_k_BASMFactor[] = "BASMFactor";

static const char __pyx_k_IndexError[] = "IndexError";

static const char __pyx_k_ValueError[] = "ValueError";

static const char __pyx_k_basmFactor[] = "basmFactor";

static const char __pyx_k_cASMFactor[] = "_cASMFactor";

static const char __pyx_k_csmoothers[] = "csmoothers";

static const char __pyx_k_node_order[] = "node_order";

static const char __pyx_k_pyx_result[] = "__pyx_result";

static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";

static const char __pyx_k_ImportError[] = "ImportError";

static const char __pyx_k_MemoryError[] = "MemoryError";

static const char __pyx_k_PickleError[] = "PickleError";

static const char __pyx_k_cBASMFactor[] = "_cBASMFactor";

static const char __pyx_k_asm_NR_solve[] = "asm_NR_solve";

static const char __pyx_k_cASMFactor_2[] = "cASMFactor";

static const char __pyx_k_pyx_checksum[] = "__pyx_checksum";

static const char __pyx_k_stringsource[] = "stringsource";

static const char __pyx_k_basm_NR_solve[] = "basm_NR_solve";

static const char __pyx_k_cBASMFactor_2[] = "cBASMFactor";

static const char __pyx_k_cSparseMatrix[] = "_cSparseMatrix";

static const char __pyx_k_pyx_getbuffer[] = "__pyx_getbuffer";

static const char __pyx_k_reduce_cython[] = "__reduce_cython__";

static const char __pyx_k_asm_NR_prepare[] = "asm_NR_prepare";

static const char __pyx_k_View_MemoryView[] = "View.MemoryView";

static const char __pyx_k_allocate_buffer[] = "allocate_buffer";

static const char __pyx_k_basm_NR_prepare[] = "basm_NR_prepare";

static const char __pyx_k_dtype_is_object[] = "dtype_is_object";

static const char __pyx_k_jacobi_NR_solve[] = "jacobi_NR_solve";

static const char __pyx_k_pyx_PickleError[] = "__pyx_PickleError";

static const char __pyx_k_setstate_cython[] = "__setstate_cython__";

static const char __pyx_k_ASMFactor___init[] = "ASMFactor.__init__";

static const char __pyx_k_BASMFactor___init[] = "BASMFactor.__init__";

static const char __pyx_k_jacobi_NR_prepare[] = "jacobi_NR_prepare";

static const char __pyx_k_pyx_unpickle_Enum[] = "__pyx_unpickle_Enum";

static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";

static const char __pyx_k_nl_jacobi_NR_solve[] = "nl_jacobi_NR_solve";

static const char __pyx_k_strided_and_direct[] = "<strided and direct>";

static const char __pyx_k_strided_and_indirect[] = "<strided and indirect>";

static const char __pyx_k_contiguous_and_direct[] = "<contiguous and direct>";

static const char __pyx_k_gauss_seidel_NR_solve[] = "gauss_seidel_NR_solve";

static const char __pyx_k_MemoryView_of_r_object[] = "<MemoryView of %r object>";

static const char __pyx_k_gauss_seidel_NR_preare[] = "gauss_seidel_NR_preare";

static const char __pyx_k_proteus_csmoothers_pyx[] = "proteus/csmoothers.pyx";

static const char __pyx_k_MemoryView_of_r_at_0x_x[] = "<MemoryView of %r at 0x%x>";

static const char __pyx_k_contiguous_and_indirect[] = "<contiguous and indirect>";

static const char __pyx_k_Cannot_index_with_type_s[] = "Cannot index with type '%s'";

static const char __pyx_k_nl_gauss_seidel_NR_solve[] = "nl_gauss_seidel_NR_solve";

static const char __pyx_k_Invalid_shape_in_axis_d_d[] = "Invalid shape in axis %d: %d.";

static const char __pyx_k_itemsize_0_for_cython_array[] = "itemsize <= 0 for cython.array";

static const char __pyx_k_unable_to_allocate_array_data[] = "unable to allocate array data.";

static const char __pyx_k_strided_and_direct_or_indirect[] = "<strided and direct or indirect>";

static const char __pyx_k_numpy_core_multiarray_failed_to[] = "numpy.core.multiarray failed to import";

static const char __pyx_k_Buffer_view_does_not_expose_stri[] = "Buffer view does not expose strides";

static const char __pyx_k_Can_only_create_a_buffer_that_is[] = "Can only create a buffer that is contiguous in memory.";

static const char __pyx_k_Cannot_assign_to_read_only_memor[] = "Cannot assign to read-only memoryview";

static const char __pyx_k_Cannot_create_writable_memory_vi[] = "Cannot create writable memory view from read-only memoryview";

static const char __pyx_k_Empty_shape_tuple_for_cython_arr[] = "Empty shape tuple for cython.array";

static const char __pyx_k_Incompatible_checksums_s_vs_0xb0[] = "Incompatible checksums (%s vs 0xb068931 = (name))";

static const char __pyx_k_Indirect_dimensions_not_supporte[] = "Indirect dimensions not supported";

static const char __pyx_k_Invalid_mode_expected_c_or_fortr[] = "Invalid mode, expected 'c' or 'fortran', got %s";

static const char __pyx_k_Out_of_bounds_on_buffer_access_a[] = "Out of bounds on buffer access (axis %d)";

static const char __pyx_k_Unable_to_convert_item_to_object[] = "Unable to convert item to object";

static const char __pyx_k_got_differing_extents_in_dimensi[] = "got differing extents in dimension %d (got %d and %d)";

static const char __pyx_k_no_default___reduce___due_to_non[] = "no default __reduce__ due to non-trivial __cinit__";

static const char __pyx_k_numpy_core_umath_failed_to_impor[] = "numpy.core.umath failed to import";

static const char __pyx_k_unable_to_allocate_shape_and_str[] = "unable to allocate shape and strides.";

static PyObject *__pyx_n_s_A;

static PyObject *__pyx_n_s_ASCII;

static PyObject *__pyx_n_s_ASMFactor;

static PyObject *__pyx_n_s_ASMFactor___init;

static PyObject *__pyx_n_s_BASMFactor;

static PyObject *__pyx_n_s_BASMFactor___init;

static PyObject *__pyx_kp_s_Buffer_view_does_not_expose_stri;

static PyObject *__pyx_kp_s_Can_only_create_a_buffer_that_is;

static PyObject *__pyx_kp_s_Cannot_assign_to_read_only_memor;

static PyObject *__pyx_kp_s_Cannot_create_writable_memory_vi;

static PyObject *__pyx_kp_s_Cannot_index_with_type_s;

static PyObject *__pyx_n_s_Ellipsis;

static PyObject *__pyx_kp_s_Empty_shape_tuple_for_cython_arr;

static PyObject *__pyx_n_s_ImportError;

static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0xb0;

static PyObject *__pyx_n_s_IndexError;

static PyObject *__pyx_kp_s_Indirect_dimensions_not_supporte;

static PyObject *__pyx_kp_s_Invalid_mode_expected_c_or_fortr;

static PyObject *__pyx_kp_s_Invalid_shape_in_axis_d_d;

static PyObject *__pyx_n_s_L;

static PyObject *__pyx_n_s_M;

static PyObject *__pyx_n_s_MemoryError;

static PyObject *__pyx_kp_s_MemoryView_of_r_at_0x_x;

static PyObject *__pyx_kp_s_MemoryView_of_r_object;

static PyObject *__pyx_n_b_O;

static PyObject *__pyx_kp_s_Out_of_bounds_on_buffer_access_a;

static PyObject *__pyx_n_s_PickleError;

static PyObject *__pyx_n_s_R;

static PyObject *__pyx_n_s_TypeError;

static PyObject *__pyx_kp_s_Unable_to_convert_item_to_object;

static PyObject *__pyx_n_s_ValueError;

static PyObject *__pyx_n_s_View_MemoryView;

static PyObject *__pyx_n_s_allocate_buffer;

static PyObject *__pyx_n_s_asmFactor;

static PyObject *__pyx_n_s_asm_NR_prepare;

static PyObject *__pyx_n_s_asm_NR_solve;

static PyObject *__pyx_n_s_base;

static PyObject *__pyx_n_s_basmFactor;

static PyObject *__pyx_n_s_basm_NR_prepare;

static PyObject *__pyx_n_s_basm_NR_solve;

static PyObject *__pyx_n_s_bs;

static PyObject *__pyx_n_s_c;

static PyObject *__pyx_n_u_c;

static PyObject *__pyx_n_s_cASMFactor;

static PyObject *__pyx_n_s_cASMFactor_2;

static PyObject *__pyx_n_s_cBASMFactor;

static PyObject *__pyx_n_s_cBASMFactor_2;

static PyObject *__pyx_n_s_cSparseMatrix;

static PyObject *__pyx_n_s_class;

static PyObject *__pyx_n_s_cline_in_traceback;

static PyObject *__pyx_kp_s_contiguous_and_direct;

static PyObject *__pyx_kp_s_contiguous_and_indirect;

static PyObject *__pyx_n_s_csmoothers;

static PyObject *__pyx_n_s_dX;

static PyObject *__pyx_n_s_dict;

static PyObject *__pyx_n_s_doc;

static PyObject *__pyx_n_s_dtype_is_object;

static PyObject *__pyx_n_s_encode;

static PyObject *__pyx_n_s_enumerate;

static PyObject *__pyx_n_s_error;

static PyObject *__pyx_n_s_flags;

static PyObject *__pyx_n_s_format;

static PyObject *__pyx_n_s_fortran;

static PyObject *__pyx_n_u_fortran;

static PyObject *__pyx_n_s_gauss_seidel_NR_preare;

static PyObject *__pyx_n_s_gauss_seidel_NR_solve;

static PyObject *__pyx_n_s_getstate;

static PyObject *__pyx_kp_s_got_differing_extents_in_dimensi;

static PyObject *__pyx_n_s_id;

static PyObject *__pyx_n_s_import;

static PyObject *__pyx_n_s_init;

static PyObject *__pyx_n_s_itemsize;

static PyObject *__pyx_kp_s_itemsize_0_for_cython_array;

static PyObject *__pyx_n_s_jacobi_NR_prepare;

static PyObject *__pyx_n_s_jacobi_NR_solve;

static PyObject *__pyx_n_s_main;

static PyObject *__pyx_n_s_memview;

static PyObject *__pyx_n_s_metaclass;

static PyObject *__pyx_n_s_mode;

static PyObject *__pyx_n_s_module;

static PyObject *__pyx_n_s_name;

static PyObject *__pyx_n_s_name_2;

static PyObject *__pyx_n_s_nc;

static PyObject *__pyx_n_s_ndim;

static PyObject *__pyx_n_s_new;

static PyObject *__pyx_n_s_nl_gauss_seidel_NR_solve;

static PyObject *__pyx_n_s_nl_jacobi_NR_solve;

static PyObject *__pyx_kp_s_no_default___reduce___due_to_non;

static PyObject *__pyx_n_s_node_order;

static PyObject *__pyx_n_s_np;

static PyObject *__pyx_n_s_nr;

static PyObject *__pyx_n_s_numpy;

static PyObject *__pyx_kp_s_numpy_core_multiarray_failed_to;

static PyObject *__pyx_kp_s_numpy_core_umath_failed_to_impor;

static PyObject *__pyx_n_s_obj;

static PyObject *__pyx_n_s_object;

static PyObject *__pyx_n_s_pack;

static PyObject *__pyx_n_s_pickle;

static PyObject *__pyx_n_s_prepare;

static PyObject *__pyx_kp_s_proteus_csmoothers_pyx;

static PyObject *__pyx_n_s_pyx_PickleError;

static PyObject *__pyx_n_s_pyx_checksum;

static PyObject *__pyx_n_s_pyx_getbuffer;

static PyObject *__pyx_n_s_pyx_result;

static PyObject *__pyx_n_s_pyx_state;

static PyObject *__pyx_n_s_pyx_type;

static PyObject *__pyx_n_s_pyx_unpickle_Enum;

static PyObject *__pyx_n_s_pyx_vtable;

static PyObject *__pyx_n_s_qualname;

static PyObject *__pyx_n_s_range;

static PyObject *__pyx_n_s_reduce;

static PyObject *__pyx_n_s_reduce_cython;

static PyObject *__pyx_n_s_reduce_ex;

static PyObject *__pyx_n_s_self;

static PyObject *__pyx_n_s_setstate;

static PyObject *__pyx_n_s_setstate_cython;

static PyObject *__pyx_n_s_shape;

static PyObject *__pyx_n_s_size;

static PyObject *__pyx_n_s_start;

static PyObject *__pyx_n_s_step;

static PyObject *__pyx_n_s_stop;

static PyObject *__pyx_kp_s_strided_and_direct;

static PyObject *__pyx_kp_s_strided_and_direct_or_indirect;

static PyObject *__pyx_kp_s_strided_and_indirect;

static PyObject *__pyx_kp_s_stringsource;

static PyObject *__pyx_n_s_struct;

static PyObject *__pyx_n_s_test;

static PyObject *__pyx_n_s_tol;

static PyObject *__pyx_kp_s_unable_to_allocate_array_data;

static PyObject *__pyx_kp_s_unable_to_allocate_shape_and_str;

static PyObject *__pyx_n_s_unpack;

static PyObject *__pyx_n_s_update;

static PyObject *__pyx_n_s_w;

static PyObject *__pyx_pf_10csmoothers_9ASMFactor___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_L); /* proto */

static int __pyx_pf_10csmoothers_10cASMFactor___cinit__(struct __pyx_obj_10csmoothers_cASMFactor *__pyx_v_self, struct __pyx_obj_7proteus_15superluWrappers_cSparseMatrix *__pyx_v_L); /* proto */

static void __pyx_pf_10csmoothers_10cASMFactor_2__dealloc__(struct __pyx_obj_10csmoothers_cASMFactor *__pyx_v_self); /* proto */

static PyObject *__pyx_pf_10csmoothers_10cASMFactor_4__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_10csmoothers_cASMFactor *__pyx_v_self); /* proto */

static PyObject *__pyx_pf_10csmoothers_10cASMFactor_6__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_10csmoothers_cASMFactor *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */

static PyObject *__pyx_pf_10csmoothers_10BASMFactor___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_L, PyObject *__pyx_v_bs); /* proto */

static int __pyx_pf_10csmoothers_11cBASMFactor___cinit__(struct __pyx_obj_10csmoothers_cBASMFactor *__pyx_v_self, struct __pyx_obj_7proteus_15superluWrappers_cSparseMatrix *__pyx_v_L, int __pyx_v_bs); /* proto */

static void __pyx_pf_10csmoothers_11cBASMFactor_2__dealloc__(struct __pyx_obj_10csmoothers_cBASMFactor *__pyx_v_self); /* proto */

static PyObject *__pyx_pf_10csmoothers_11cBASMFactor_4__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_10csmoothers_cBASMFactor *__pyx_v_self); /* proto */

static PyObject *__pyx_pf_10csmoothers_11cBASMFactor_6__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_10csmoothers_cBASMFactor *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */

static PyObject *__pyx_pf_10csmoothers_jacobi_NR_prepare(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_A, PyObject *__pyx_v_w, PyObject *__pyx_v_tol, PyObject *__pyx_v_M); /* proto */

static PyObject *__pyx_pf_10csmoothers_2jacobi_NR_solve(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_A, PyObject *__pyx_v_M, PyObject *__pyx_v_R, PyObject *__pyx_v_node_order, PyObject *__pyx_v_dX); /* proto */

static PyObject *__pyx_pf_10csmoothers_4nl_jacobi_NR_solve(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_A, PyObject *__pyx_v_R, PyObject *__pyx_v_node_order, PyObject *__pyx_v_w, PyObject *__pyx_v_tol, PyObject *__pyx_v_dX); /* proto */

static PyObject *__pyx_pf_10csmoothers_6gauss_seidel_NR_preare(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_A, PyObject *__pyx_v_w, PyObject *__pyx_v_tol, PyObject *__pyx_v_M); /* proto */

static PyObject *__pyx_pf_10csmoothers_8gauss_seidel_NR_solve(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_A, PyObject *__pyx_v_M, PyObject *__pyx_v_R, PyObject *__pyx_v_node_order, PyObject *__pyx_v_dX); /* proto */

static PyObject *__pyx_pf_10csmoothers_10nl_gauss_seidel_NR_solve(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_A, PyObject *__pyx_v_R, PyObject *__pyx_v_node_order, PyObject *__pyx_v_w, PyObject *__pyx_v_tol, PyObject *__pyx_v_dX); /* proto */

static PyObject *__pyx_pf_10csmoothers_12asm_NR_prepare(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_A, PyObject *__pyx_v_asmFactor); /* proto */

static PyObject *__pyx_pf_10csmoothers_14asm_NR_solve(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_A, PyObject *__pyx_v_w, PyObject *__pyx_v_asmFactor, PyObject *__pyx_v_node_order, PyObject *__pyx_v_R, PyObject *__pyx_v_dX); /* proto */

static PyObject *__pyx_pf_10csmoothers_16basm_NR_prepare(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_A, PyObject *__pyx_v_basmFactor); /* proto */

static PyObject *__pyx_pf_10csmoothers_18basm_NR_solve(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_A, PyObject *__pyx_v_w, PyObject *__pyx_v_basmFactor, PyObject *__pyx_v_node_order, PyObject *__pyx_v_R, PyObject *__pyx_v_dX); /* proto */

static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array___cinit__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_shape, Py_ssize_t __pyx_v_itemsize, PyObject *__pyx_v_format, PyObject *__pyx_v_mode, int __pyx_v_allocate_buffer); /* proto */

static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_2__getbuffer__(struct __pyx_array_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */

static void __pyx_array___pyx_pf_15View_dot_MemoryView_5array_4__dealloc__(struct __pyx_array_obj *__pyx_v_self); /* proto */

static PyObject *__pyx_pf_15View_dot_MemoryView_5array_7memview___get__(struct __pyx_array_obj *__pyx_v_self); /* proto */

static Py_ssize_t __pyx_array___pyx_pf_15View_dot_MemoryView_5array_6__len__(struct __pyx_array_obj *__pyx_v_self); /* proto */

static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_8__getattr__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_attr); /* proto */

static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_10__getitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item); /* proto */

static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_12__setitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item, PyObject *__pyx_v_value); /* proto */

static PyObject *__pyx_pf___pyx_array___reduce_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self); /* proto */

static PyObject *__pyx_pf___pyx_array_2__setstate_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */

static int __pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum___init__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v_name); /* proto */

static PyObject *__pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum_2__repr__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */

static PyObject *__pyx_pf___pyx_MemviewEnum___reduce_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */

static PyObject *__pyx_pf___pyx_MemviewEnum_2__setstate_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */

static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview___cinit__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj, int __pyx_v_flags, int __pyx_v_dtype_is_object); /* proto */

static void __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_2__dealloc__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */

static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_4__getitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto */

static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_6__setitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto */

static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_8__getbuffer__(struct __pyx_memoryview_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */

static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_1T___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */

static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4base___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */

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      /* "View.MemoryView":774

 *                 have_start, have_stop, have_step,

 *                 True)

 *             new_ndim += 1             # <<<<<<<<<<<<<<

 *

 *     if isinstance(memview, _memoryviewslice):

 */

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    }

    __pyx_L6:;


    /* "View.MemoryView":746

 *     cdef bint have_start, have_stop, have_step

 *

 *     for dim, index in enumerate(indices):             # <<<<<<<<<<<<<<

 *         if PyIndex_Check(index):

 *             slice_memviewslice(

 */

  }

  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;


  /* "View.MemoryView":776

 *             new_ndim += 1

 *

 *     if isinstance(memview, _memoryviewslice):             # <<<<<<<<<<<<<<

 *         return memoryview_fromslice(dst, new_ndim,

 *                                     memviewsliceobj.to_object_func,

 */

  __pyx_t_1 = __Pyx_TypeCheck(((PyObject *)__pyx_v_memview), __pyx_memoryviewslice_type);

  __pyx_t_2 = (__pyx_t_1 != 0);

  if (__pyx_t_2) {


    /* "View.MemoryView":777

 *

 *     if isinstance(memview, _memoryviewslice):

 *         return memoryview_fromslice(dst, new_ndim,             # <<<<<<<<<<<<<<

 *                                     memviewsliceobj.to_object_func,

 *                                     memviewsliceobj.to_dtype_func,

 */

    __Pyx_XDECREF(((PyObject *)__pyx_r));


    /* "View.MemoryView":778

 *     if isinstance(memview, _memoryviewslice):

 *         return memoryview_fromslice(dst, new_ndim,

 *                                     memviewsliceobj.to_object_func,             # <<<<<<<<<<<<<<

 *                                     memviewsliceobj.to_dtype_func,

 *                                     memview.dtype_is_object)

 */

    if (unlikely(!__pyx_v_memviewsliceobj)) { __Pyx_RaiseUnboundLocalError("memviewsliceobj"); __PYX_ERR(1, 778, __pyx_L1_error) }


    /* "View.MemoryView":779

 *         return memoryview_fromslice(dst, new_ndim,

 *                                     memviewsliceobj.to_object_func,

 *                                     memviewsliceobj.to_dtype_func,             # <<<<<<<<<<<<<<

 *                                     memview.dtype_is_object)

 *     else:

 */

    if (unlikely(!__pyx_v_memviewsliceobj)) { __Pyx_RaiseUnboundLocalError("memviewsliceobj"); __PYX_ERR(1, 779, __pyx_L1_error) }


    /* "View.MemoryView":777

 *

 *     if isinstance(memview, _memoryviewslice):

 *         return memoryview_fromslice(dst, new_ndim,             # <<<<<<<<<<<<<<

 *                                     memviewsliceobj.to_object_func,

 *                                     memviewsliceobj.to_dtype_func,

 */

    __pyx_t_3 = __pyx_memoryview_fromslice(__pyx_v_dst, __pyx_v_new_ndim, __pyx_v_memviewsliceobj->to_object_func, __pyx_v_memviewsliceobj->to_dtype_func, __pyx_v_memview->dtype_is_object); if (unlikely(!__pyx_t_3)) __PYX_ERR(1, 777, __pyx_L1_error)

    __Pyx_GOTREF(__pyx_t_3);

    if (!(likely(((__pyx_t_3) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_3, __pyx_memoryview_type))))) __PYX_ERR(1, 777, __pyx_L1_error)

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    __pyx_t_3 = 0;

    goto __pyx_L0;


    /* "View.MemoryView":776

 *             new_ndim += 1

 *

 *     if isinstance(memview, _memoryviewslice):             # <<<<<<<<<<<<<<

 *         return memoryview_fromslice(dst, new_ndim,

 *                                     memviewsliceobj.to_object_func,

 */

  }


  /* "View.MemoryView":782

 *                                     memview.dtype_is_object)

 *     else:

 *         return memoryview_fromslice(dst, new_ndim, NULL, NULL,             # <<<<<<<<<<<<<<

 *                                     memview.dtype_is_object)

 *

 */

  /*else*/ {

    __Pyx_XDECREF(((PyObject *)__pyx_r));


    /* "View.MemoryView":783

 *     else:

 *         return memoryview_fromslice(dst, new_ndim, NULL, NULL,

 *                                     memview.dtype_is_object)             # <<<<<<<<<<<<<<

 *

 *

 */

    __pyx_t_3 = __pyx_memoryview_fromslice(__pyx_v_dst, __pyx_v_new_ndim, NULL, NULL, __pyx_v_memview->dtype_is_object); if (unlikely(!__pyx_t_3)) __PYX_ERR(1, 782, __pyx_L1_error)

    __Pyx_GOTREF(__pyx_t_3);


    /* "View.MemoryView":782

 *                                     memview.dtype_is_object)

 *     else:

 *         return memoryview_fromslice(dst, new_ndim, NULL, NULL,             # <<<<<<<<<<<<<<

 *                                     memview.dtype_is_object)

 *

 */

    if (!(likely(((__pyx_t_3) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_3, __pyx_memoryview_type))))) __PYX_ERR(1, 782, __pyx_L1_error)

    __pyx_r = ((struct __pyx_memoryview_obj *)__pyx_t_3);

    __pyx_t_3 = 0;

    goto __pyx_L0;

  }


  /* "View.MemoryView":710

 *

 * @cname('__pyx_memview_slice')

 * cdef memoryview memview_slice(memoryview memview, object indices):             # <<<<<<<<<<<<<<

 *     cdef int new_ndim = 0, suboffset_dim = -1, dim

 *     cdef bint negative_step

 */


  /* function exit code */

  __pyx_L1_error:;

  __Pyx_XDECREF(__pyx_t_3);

  __Pyx_XDECREF(__pyx_t_9);

  __Pyx_AddTraceback("View.MemoryView.memview_slice", __pyx_clineno, __pyx_lineno, __pyx_filename);

  __pyx_r = 0;

  __pyx_L0:;

  __Pyx_XDECREF((PyObject *)__pyx_v_memviewsliceobj);

  __Pyx_XDECREF(__pyx_v_index);

  __Pyx_XGIVEREF((PyObject *)__pyx_r);

  __Pyx_RefNannyFinishContext();

  return __pyx_r;

}


/* "View.MemoryView":807

 *

 * @cname('__pyx_memoryview_slice_memviewslice')

 * cdef int slice_memviewslice(             # <<<<<<<<<<<<<<

 *         __Pyx_memviewslice *dst,

 *         Py_ssize_t shape, Py_ssize_t stride, Py_ssize_t suboffset,

 */


static int __pyx_memoryview_slice_memviewslice(__Pyx_memviewslice *__pyx_v_dst, Py_ssize_t __pyx_v_shape, Py_ssize_t __pyx_v_stride, Py_ssize_t __pyx_v_suboffset, int __pyx_v_dim, int __pyx_v_new_ndim, int *__pyx_v_suboffset_dim, Py_ssize_t __pyx_v_start, Py_ssize_t __pyx_v_stop, Py_ssize_t __pyx_v_step, int __pyx_v_have_start, int __pyx_v_have_stop, int __pyx_v_have_step, int __pyx_v_is_slice) {

  Py_ssize_t __pyx_v_new_shape;

  int __pyx_v_negative_step;

  int __pyx_r;

  int __pyx_t_1;

  int __pyx_t_2;

  int __pyx_t_3;

  int __pyx_lineno = 0;

  const char *__pyx_filename = NULL;

  int __pyx_clineno = 0;


  /* "View.MemoryView":827

 *     cdef bint negative_step

 *

 *     if not is_slice:             # <<<<<<<<<<<<<<

 *

 *         if start < 0:

 */

  __pyx_t_1 = ((!(__pyx_v_is_slice != 0)) != 0);

  if (__pyx_t_1) {


    /* "View.MemoryView":829

 *     if not is_slice:

 *

 *         if start < 0:             # <<<<<<<<<<<<<<

 *             start += shape

 *         if not 0 <= start < shape:

 */

    __pyx_t_1 = ((__pyx_v_start < 0) != 0);

    if (__pyx_t_1) {


      /* "View.MemoryView":830

 *

 *         if start < 0:

 *             start += shape             # <<<<<<<<<<<<<<

 *         if not 0 <= start < shape:

 *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)

 */

      __pyx_v_start = (__pyx_v_start + __pyx_v_shape);


      /* "View.MemoryView":829

 *     if not is_slice:

 *

 *         if start < 0:             # <<<<<<<<<<<<<<

 *             start += shape

 *         if not 0 <= start < shape:

 */

    }


    /* "View.MemoryView":831

 *         if start < 0:

 *             start += shape

 *         if not 0 <= start < shape:             # <<<<<<<<<<<<<<

 *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)

 *     else:

 */

    __pyx_t_1 = (0 <= __pyx_v_start);

    if (__pyx_t_1) {

      __pyx_t_1 = (__pyx_v_start < __pyx_v_shape);

    }

    __pyx_t_2 = ((!(__pyx_t_1 != 0)) != 0);

    if (__pyx_t_2) {


      /* "View.MemoryView":832

 *             start += shape

 *         if not 0 <= start < shape:

 *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)             # <<<<<<<<<<<<<<

 *     else:

 *

 */

      __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_IndexError, ((char *)"Index out of bounds (axis %d)"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(1, 832, __pyx_L1_error)


      /* "View.MemoryView":831

 *         if start < 0:

 *             start += shape

 *         if not 0 <= start < shape:             # <<<<<<<<<<<<<<

 *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)

 *     else:

 */

    }


    /* "View.MemoryView":827

 *     cdef bint negative_step

 *

 *     if not is_slice:             # <<<<<<<<<<<<<<

 *

 *         if start < 0:

 */

    goto __pyx_L3;

  }


  /* "View.MemoryView":835

 *     else:

 *

 *         negative_step = have_step != 0 and step < 0             # <<<<<<<<<<<<<<

 *

 *         if have_step and step == 0:

 */

  /*else*/ {

    __pyx_t_1 = ((__pyx_v_have_step != 0) != 0);

    if (__pyx_t_1) {

    } else {

      __pyx_t_2 = __pyx_t_1;

      goto __pyx_L6_bool_binop_done;

    }

    __pyx_t_1 = ((__pyx_v_step < 0) != 0);

    __pyx_t_2 = __pyx_t_1;

    __pyx_L6_bool_binop_done:;

    __pyx_v_negative_step = __pyx_t_2;


    /* "View.MemoryView":837

 *         negative_step = have_step != 0 and step < 0

 *

 *         if have_step and step == 0:             # <<<<<<<<<<<<<<

 *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)

 *

 */

    __pyx_t_1 = (__pyx_v_have_step != 0);

    if (__pyx_t_1) {

    } else {

      __pyx_t_2 = __pyx_t_1;

      goto __pyx_L9_bool_binop_done;

    }

    __pyx_t_1 = ((__pyx_v_step == 0) != 0);

    __pyx_t_2 = __pyx_t_1;

    __pyx_L9_bool_binop_done:;

    if (__pyx_t_2) {


      /* "View.MemoryView":838

 *

 *         if have_step and step == 0:

 *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)             # <<<<<<<<<<<<<<

 *

 *

 */

      __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_ValueError, ((char *)"Step may not be zero (axis %d)"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(1, 838, __pyx_L1_error)


      /* "View.MemoryView":837

 *         negative_step = have_step != 0 and step < 0

 *

 *         if have_step and step == 0:             # <<<<<<<<<<<<<<

 *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)

 *

 */

    }


    /* "View.MemoryView":841

 *

 *

 *         if have_start:             # <<<<<<<<<<<<<<

 *             if start < 0:

 *                 start += shape

 */

    __pyx_t_2 = (__pyx_v_have_start != 0);

    if (__pyx_t_2) {


      /* "View.MemoryView":842

 *

 *         if have_start:

 *             if start < 0:             # <<<<<<<<<<<<<<

 *                 start += shape

 *                 if start < 0:

 */

      __pyx_t_2 = ((__pyx_v_start < 0) != 0);

      if (__pyx_t_2) {


        /* "View.MemoryView":843

 *         if have_start:

 *             if start < 0:

 *                 start += shape             # <<<<<<<<<<<<<<

 *                 if start < 0:

 *                     start = 0

 */

        __pyx_v_start = (__pyx_v_start + __pyx_v_shape);


        /* "View.MemoryView":844

 *             if start < 0:

 *                 start += shape

 *                 if start < 0:             # <<<<<<<<<<<<<<

 *                     start = 0

 *             elif start >= shape:

 */

        __pyx_t_2 = ((__pyx_v_start < 0) != 0);

        if (__pyx_t_2) {


          /* "View.MemoryView":845

 *                 start += shape

 *                 if start < 0:

 *                     start = 0             # <<<<<<<<<<<<<<

 *             elif start >= shape:

 *                 if negative_step:

 */

          __pyx_v_start = 0;


          /* "View.MemoryView":844

 *             if start < 0:

 *                 start += shape

 *                 if start < 0:             # <<<<<<<<<<<<<<

 *                     start = 0

 *             elif start >= shape:

 */

        }


        /* "View.MemoryView":842

 *

 *         if have_start:

 *             if start < 0:             # <<<<<<<<<<<<<<

 *                 start += shape

 *                 if start < 0:

 */

        goto __pyx_L12;

      }


      /* "View.MemoryView":846

 *                 if start < 0:

 *                     start = 0

 *             elif start >= shape:             # <<<<<<<<<<<<<<

 *                 if negative_step:

 *                     start = shape - 1

 */

      __pyx_t_2 = ((__pyx_v_start >= __pyx_v_shape) != 0);

      if (__pyx_t_2) {


        /* "View.MemoryView":847

 *                     start = 0

 *             elif start >= shape:

 *                 if negative_step:             # <<<<<<<<<<<<<<

 *                     start = shape - 1

 *                 else:

 */

        __pyx_t_2 = (__pyx_v_negative_step != 0);

        if (__pyx_t_2) {


          /* "View.MemoryView":848

 *             elif start >= shape:

 *                 if negative_step:

 *                     start = shape - 1             # <<<<<<<<<<<<<<

 *                 else:

 *                     start = shape

 */

          __pyx_v_start = (__pyx_v_shape - 1);


          /* "View.MemoryView":847

 *                     start = 0

 *             elif start >= shape:

 *                 if negative_step:             # <<<<<<<<<<<<<<

 *                     start = shape - 1

 *                 else:

 */

          goto __pyx_L14;

        }


        /* "View.MemoryView":850

 *                     start = shape - 1

 *                 else:

 *                     start = shape             # <<<<<<<<<<<<<<

 *         else:

 *             if negative_step:

 */

        /*else*/ {

          __pyx_v_start = __pyx_v_shape;

        }

        __pyx_L14:;


        /* "View.MemoryView":846

 *                 if start < 0:

 *                     start = 0

 *             elif start >= shape:             # <<<<<<<<<<<<<<

 *                 if negative_step:

 *                     start = shape - 1

 */

      }

      __pyx_L12:;


      /* "View.MemoryView":841

 *

 *

 *         if have_start:             # <<<<<<<<<<<<<<

 *             if start < 0:

 *                 start += shape

 */

      goto __pyx_L11;

    }


    /* "View.MemoryView":852

 *                     start = shape

 *         else:

 *             if negative_step:             # <<<<<<<<<<<<<<

 *                 start = shape - 1

 *             else:

 */

    /*else*/ {

      __pyx_t_2 = (__pyx_v_negative_step != 0);

      if (__pyx_t_2) {


        /* "View.MemoryView":853

 *         else:

 *             if negative_step:

 *                 start = shape - 1             # <<<<<<<<<<<<<<

 *             else:

 *                 start = 0

 */

        __pyx_v_start = (__pyx_v_shape - 1);


        /* "View.MemoryView":852

 *                     start = shape

 *         else:

 *             if negative_step:             # <<<<<<<<<<<<<<

 *                 start = shape - 1

 *             else:

 */

        goto __pyx_L15;

      }


      /* "View.MemoryView":855

 *                 start = shape - 1

 *             else:

 *                 start = 0             # <<<<<<<<<<<<<<

 *

 *         if have_stop:

 */

      /*else*/ {

        __pyx_v_start = 0;

      }

      __pyx_L15:;

    }

    __pyx_L11:;


    /* "View.MemoryView":857

 *                 start = 0

 *

 *         if have_stop:             # <<<<<<<<<<<<<<

 *             if stop < 0:

 *                 stop += shape

 */

    __pyx_t_2 = (__pyx_v_have_stop != 0);

    if (__pyx_t_2) {


      /* "View.MemoryView":858

 *

 *         if have_stop:

 *             if stop < 0:             # <<<<<<<<<<<<<<

 *                 stop += shape

 *                 if stop < 0:

 */

      __pyx_t_2 = ((__pyx_v_stop < 0) != 0);

      if (__pyx_t_2) {


        /* "View.MemoryView":859

 *         if have_stop:

 *             if stop < 0:

 *                 stop += shape             # <<<<<<<<<<<<<<

 *                 if stop < 0:

 *                     stop = 0

 */

        __pyx_v_stop = (__pyx_v_stop + __pyx_v_shape);


        /* "View.MemoryView":860

 *             if stop < 0:

 *                 stop += shape

 *                 if stop < 0:             # <<<<<<<<<<<<<<

 *                     stop = 0

 *             elif stop > shape:

 */

        __pyx_t_2 = ((__pyx_v_stop < 0) != 0);

        if (__pyx_t_2) {


          /* "View.MemoryView":861

 *                 stop += shape

 *                 if stop < 0:

 *                     stop = 0             # <<<<<<<<<<<<<<

 *             elif stop > shape:

 *                 stop = shape

 */

          __pyx_v_stop = 0;


          /* "View.MemoryView":860

 *             if stop < 0:

 *                 stop += shape

 *                 if stop < 0:             # <<<<<<<<<<<<<<

 *                     stop = 0

 *             elif stop > shape:

 */

        }


        /* "View.MemoryView":858

 *

 *         if have_stop:

 *             if stop < 0:             # <<<<<<<<<<<<<<

 *                 stop += shape

 *                 if stop < 0:

 */

        goto __pyx_L17;

      }


      /* "View.MemoryView":862

 *                 if stop < 0:

 *                     stop = 0

 *             elif stop > shape:             # <<<<<<<<<<<<<<

 *                 stop = shape

 *         else:

 */

      __pyx_t_2 = ((__pyx_v_stop > __pyx_v_shape) != 0);

      if (__pyx_t_2) {


        /* "View.MemoryView":863

 *                     stop = 0

 *             elif stop > shape:

 *                 stop = shape             # <<<<<<<<<<<<<<

 *         else:

 *             if negative_step:

 */

        __pyx_v_stop = __pyx_v_shape;


        /* "View.MemoryView":862

 *                 if stop < 0:

 *                     stop = 0

 *             elif stop > shape:             # <<<<<<<<<<<<<<

 *                 stop = shape

 *         else:

 */

      }

      __pyx_L17:;


      /* "View.MemoryView":857

 *                 start = 0

 *

 *         if have_stop:             # <<<<<<<<<<<<<<

 *             if stop < 0:

 *                 stop += shape

 */

      goto __pyx_L16;

    }


    /* "View.MemoryView":865

 *                 stop = shape

 *         else:

 *             if negative_step:             # <<<<<<<<<<<<<<

 *                 stop = -1

 *             else:

 */

    /*else*/ {

      __pyx_t_2 = (__pyx_v_negative_step != 0);

      if (__pyx_t_2) {


        /* "View.MemoryView":866

 *         else:

 *             if negative_step:

 *                 stop = -1             # <<<<<<<<<<<<<<

 *             else:

 *                 stop = shape

 */

        __pyx_v_stop = -1L;


        /* "View.MemoryView":865

 *                 stop = shape

 *         else:

 *             if negative_step:             # <<<<<<<<<<<<<<

 *                 stop = -1

 *             else:

 */

        goto __pyx_L19;

      }


      /* "View.MemoryView":868

 *                 stop = -1

 *             else:

 *                 stop = shape             # <<<<<<<<<<<<<<

 *

 *         if not have_step:

 */

      /*else*/ {

        __pyx_v_stop = __pyx_v_shape;

      }

      __pyx_L19:;

    }

    __pyx_L16:;


    /* "View.MemoryView":870

 *                 stop = shape

 *

 *         if not have_step:             # <<<<<<<<<<<<<<

 *             step = 1

 *

 */

    __pyx_t_2 = ((!(__pyx_v_have_step != 0)) != 0);

    if (__pyx_t_2) {


      /* "View.MemoryView":871

 *

 *         if not have_step:

 *             step = 1             # <<<<<<<<<<<<<<

 *

 *

 */

      __pyx_v_step = 1;


      /* "View.MemoryView":870

 *                 stop = shape

 *

 *         if not have_step:             # <<<<<<<<<<<<<<

 *             step = 1

 *

 */

    }


    /* "View.MemoryView":875

 *

 *         with cython.cdivision(True):

 *             new_shape = (stop - start) // step             # <<<<<<<<<<<<<<

 *

 *             if (stop - start) - step * new_shape:

 */

    __pyx_v_new_shape = ((__pyx_v_stop - __pyx_v_start) / __pyx_v_step);


    /* "View.MemoryView":877

 *             new_shape = (stop - start) // step

 *

 *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<

 *                 new_shape += 1

 *

 */

    __pyx_t_2 = (((__pyx_v_stop - __pyx_v_start) - (__pyx_v_step * __pyx_v_new_shape)) != 0);

    if (__pyx_t_2) {


      /* "View.MemoryView":878

 *

 *             if (stop - start) - step * new_shape:

 *                 new_shape += 1             # <<<<<<<<<<<<<<

 *

 *         if new_shape < 0:

 */

      __pyx_v_new_shape = (__pyx_v_new_shape + 1);


      /* "View.MemoryView":877

 *             new_shape = (stop - start) // step

 *

 *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<

 *                 new_shape += 1

 *

 */

    }


    /* "View.MemoryView":880

 *                 new_shape += 1

 *

 *         if new_shape < 0:             # <<<<<<<<<<<<<<

 *             new_shape = 0

 *

 */

    __pyx_t_2 = ((__pyx_v_new_shape < 0) != 0);

    if (__pyx_t_2) {


      /* "View.MemoryView":881

 *

 *         if new_shape < 0:

 *             new_shape = 0             # <<<<<<<<<<<<<<

 *

 *

 */

      __pyx_v_new_shape = 0;


      /* "View.MemoryView":880

 *                 new_shape += 1

 *

 *         if new_shape < 0:             # <<<<<<<<<<<<<<

 *             new_shape = 0

 *

 */

    }


    /* "View.MemoryView":884

 *

 *

 *         dst.strides[new_ndim] = stride * step             # <<<<<<<<<<<<<<

 *         dst.shape[new_ndim] = new_shape

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 */

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 *     cdef __Pyx_memviewslice memviewslice

 */


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/* "View.MemoryView":1087

 *

 * @cname('__pyx_memoryview_copy_object_from_slice')

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 *     """

 *     Create a new memoryview object from a given memoryview object and slice.

 */


static PyObject *__pyx_memoryview_copy_object_from_slice(struct __pyx_memoryview_obj *__pyx_v_memview, __Pyx_memviewslice *__pyx_v_memviewslice) {

  PyObject *(*__pyx_v_to_object_func)(char *);

  int (*__pyx_v_to_dtype_func)(char *, PyObject *);

  PyObject *__pyx_r = NULL;

  __Pyx_RefNannyDeclarations

  int __pyx_t_1;

  int __pyx_t_2;

  PyObject *(*__pyx_t_3)(char *);

  int (*__pyx_t_4)(char *, PyObject *);

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  int __pyx_lineno = 0;

  const char *__pyx_filename = NULL;

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 *

 *     if isinstance(memview, _memoryviewslice):             # <<<<<<<<<<<<<<

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    /* "View.MemoryView":1095

 *

 *     if isinstance(memview, _memoryviewslice):

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 *         to_dtype_func = (<_memoryviewslice> memview).to_dtype_func

 *     else:

 */

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 *     if isinstance(memview, _memoryviewslice):

 *         to_object_func = (<_memoryviewslice> memview).to_object_func

 *         to_dtype_func = (<_memoryviewslice> memview).to_dtype_func             # <<<<<<<<<<<<<<

 *     else:

 *         to_object_func = NULL

 */

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 *     cdef int (*to_dtype_func)(char *, object) except 0

 *

 *     if isinstance(memview, _memoryviewslice):             # <<<<<<<<<<<<<<

 *         to_object_func = (<_memoryviewslice> memview).to_object_func

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 */

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  /* "View.MemoryView":1098

 *         to_dtype_func = (<_memoryviewslice> memview).to_dtype_func

 *     else:

 *         to_object_func = NULL             # <<<<<<<<<<<<<<

 *         to_dtype_func = NULL

 *

 */

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 *     else:

 *         to_object_func = NULL

 *         to_dtype_func = NULL             # <<<<<<<<<<<<<<

 *

 *     return memoryview_fromslice(memviewslice[0], memview.view.ndim,

 */

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  /* "View.MemoryView":1101

 *         to_dtype_func = NULL

 *

 *     return memoryview_fromslice(memviewslice[0], memview.view.ndim,             # <<<<<<<<<<<<<<

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 *     return memoryview_fromslice(memviewslice[0], memview.view.ndim,

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 *                                 memview.dtype_is_object)             # <<<<<<<<<<<<<<

 *

 *

 */

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  /* "View.MemoryView":1087

 *

 * @cname('__pyx_memoryview_copy_object_from_slice')

 * cdef memoryview_copy_from_slice(memoryview memview, __Pyx_memviewslice *memviewslice):             # <<<<<<<<<<<<<<

 *     """

 *     Create a new memoryview object from a given memoryview object and slice.

 */


  /* function exit code */

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  __Pyx_XDECREF(__pyx_t_5);

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  __pyx_r = 0;

  __pyx_L0:;

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/* "View.MemoryView":1109

 *

 *

 * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) nogil:             # <<<<<<<<<<<<<<

 *     if arg < 0:

 *         return -arg

 */


static Py_ssize_t abs_py_ssize_t(Py_ssize_t __pyx_v_arg) {

  Py_ssize_t __pyx_r;

  int __pyx_t_1;


  /* "View.MemoryView":1110

 *

 * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) nogil:

 *     if arg < 0:             # <<<<<<<<<<<<<<

 *         return -arg

 *     else:

 */

  __pyx_t_1 = ((__pyx_v_arg < 0) != 0);

  if (__pyx_t_1) {


    /* "View.MemoryView":1111

 * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) nogil:

 *     if arg < 0:

 *         return -arg             # <<<<<<<<<<<<<<

 *     else:

 *         return arg

 */

    __pyx_r = (-__pyx_v_arg);

    goto __pyx_L0;


    /* "View.MemoryView":1110

 *

 * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) nogil:

 *     if arg < 0:             # <<<<<<<<<<<<<<

 *         return -arg

 *     else:

 */

  }


  /* "View.MemoryView":1113

 *         return -arg

 *     else:

 *         return arg             # <<<<<<<<<<<<<<

 *

 * @cname('__pyx_get_best_slice_order')

 */

  /*else*/ {

    __pyx_r = __pyx_v_arg;

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  /* "View.MemoryView":1109

 *

 *

 * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) nogil:             # <<<<<<<<<<<<<<

 *     if arg < 0:

 *         return -arg

 */


  /* function exit code */

  __pyx_L0:;

  return __pyx_r;

}


/* "View.MemoryView":1116

 *

 * @cname('__pyx_get_best_slice_order')

 * cdef char get_best_order(__Pyx_memviewslice *mslice, int ndim) nogil:             # <<<<<<<<<<<<<<

 *     """

 *     Figure out the best memory access order for a given slice.

 */


static char __pyx_get_best_slice_order(__Pyx_memviewslice *__pyx_v_mslice, int __pyx_v_ndim) {

  int __pyx_v_i;

  Py_ssize_t __pyx_v_c_stride;

  Py_ssize_t __pyx_v_f_stride;

  char __pyx_r;

  int __pyx_t_1;

  int __pyx_t_2;

  int __pyx_t_3;

  int __pyx_t_4;


  /* "View.MemoryView":1121

 *     """

 *     cdef int i

 *     cdef Py_ssize_t c_stride = 0             # <<<<<<<<<<<<<<

 *     cdef Py_ssize_t f_stride = 0

 *

 */

  __pyx_v_c_stride = 0;


  /* "View.MemoryView":1122

 *     cdef int i

 *     cdef Py_ssize_t c_stride = 0

 *     cdef Py_ssize_t f_stride = 0             # <<<<<<<<<<<<<<

 *

 *     for i in range(ndim - 1, -1, -1):

 */

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  /* "View.MemoryView":1124

 *     cdef Py_ssize_t f_stride = 0

 *

 *     for i in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<

 *         if mslice.shape[i] > 1:

 *             c_stride = mslice.strides[i]

 */

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    /* "View.MemoryView":1125

 *

 *     for i in range(ndim - 1, -1, -1):

 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<

 *             c_stride = mslice.strides[i]

 *             break

 */

    __pyx_t_2 = (((__pyx_v_mslice->shape[__pyx_v_i]) > 1) != 0);

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      /* "View.MemoryView":1126

 *     for i in range(ndim - 1, -1, -1):

 *         if mslice.shape[i] > 1:

 *             c_stride = mslice.strides[i]             # <<<<<<<<<<<<<<

 *             break

 *

 */

      __pyx_v_c_stride = (__pyx_v_mslice->strides[__pyx_v_i]);


      /* "View.MemoryView":1127

 *         if mslice.shape[i] > 1:

 *             c_stride = mslice.strides[i]

 *             break             # <<<<<<<<<<<<<<

 *

 *     for i in range(ndim):

 */

      goto __pyx_L4_break;


      /* "View.MemoryView":1125

 *

 *     for i in range(ndim - 1, -1, -1):

 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<

 *             c_stride = mslice.strides[i]

 *             break

 */

    }

  }

  __pyx_L4_break:;


  /* "View.MemoryView":1129

 *             break

 *

 *     for i in range(ndim):             # <<<<<<<<<<<<<<

 *         if mslice.shape[i] > 1:

 *             f_stride = mslice.strides[i]

 */

  __pyx_t_1 = __pyx_v_ndim;

  __pyx_t_3 = __pyx_t_1;

  for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {

    __pyx_v_i = __pyx_t_4;


    /* "View.MemoryView":1130

 *

 *     for i in range(ndim):

 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<

 *             f_stride = mslice.strides[i]

 *             break

 */

    __pyx_t_2 = (((__pyx_v_mslice->shape[__pyx_v_i]) > 1) != 0);

    if (__pyx_t_2) {


      /* "View.MemoryView":1131

 *     for i in range(ndim):

 *         if mslice.shape[i] > 1:

 *             f_stride = mslice.strides[i]             # <<<<<<<<<<<<<<

 *             break

 *

 */

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      /* "View.MemoryView":1132

 *         if mslice.shape[i] > 1:

 *             f_stride = mslice.strides[i]

 *             break             # <<<<<<<<<<<<<<

 *

 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):

 */

      goto __pyx_L7_break;


      /* "View.MemoryView":1130

 *

 *     for i in range(ndim):

 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<

 *             f_stride = mslice.strides[i]

 *             break

 */

    }

  }

  __pyx_L7_break:;


  /* "View.MemoryView":1134

 *             break

 *

 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<

 *         return 'C'

 *     else:

 */

  __pyx_t_2 = ((abs_py_ssize_t(__pyx_v_c_stride) <= abs_py_ssize_t(__pyx_v_f_stride)) != 0);

  if (__pyx_t_2) {


    /* "View.MemoryView":1135

 *

 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):

 *         return 'C'             # <<<<<<<<<<<<<<

 *     else:

 *         return 'F'

 */

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    goto __pyx_L0;


    /* "View.MemoryView":1134

 *             break

 *

 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<

 *         return 'C'

 *     else:

 */

  }


  /* "View.MemoryView":1137

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 *     else:

 *         return 'F'             # <<<<<<<<<<<<<<

 *

 * @cython.cdivision(True)

 */

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    goto __pyx_L0;

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 *

 * @cname('__pyx_get_best_slice_order')

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 *     """

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}


/* "View.MemoryView":1140

 *

 * @cython.cdivision(True)

 * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,             # <<<<<<<<<<<<<<

 *                                    char *dst_data, Py_ssize_t *dst_strides,

 *                                    Py_ssize_t *src_shape, Py_ssize_t *dst_shape,

 */


static void _copy_strided_to_strided(char *__pyx_v_src_data, Py_ssize_t *__pyx_v_src_strides, char *__pyx_v_dst_data, Py_ssize_t *__pyx_v_dst_strides, Py_ssize_t *__pyx_v_src_shape, Py_ssize_t *__pyx_v_dst_shape, int __pyx_v_ndim, size_t __pyx_v_itemsize) {

  CYTHON_UNUSED Py_ssize_t __pyx_v_i;

  CYTHON_UNUSED Py_ssize_t __pyx_v_src_extent;

  Py_ssize_t __pyx_v_dst_extent;

  Py_ssize_t __pyx_v_src_stride;

  Py_ssize_t __pyx_v_dst_stride;

  int __pyx_t_1;

  int __pyx_t_2;

  int __pyx_t_3;

  Py_ssize_t __pyx_t_4;

  Py_ssize_t __pyx_t_5;

  Py_ssize_t __pyx_t_6;


  /* "View.MemoryView":1147

 *

 *     cdef Py_ssize_t i

 *     cdef Py_ssize_t src_extent = src_shape[0]             # <<<<<<<<<<<<<<

 *     cdef Py_ssize_t dst_extent = dst_shape[0]

 *     cdef Py_ssize_t src_stride = src_strides[0]

 */

  __pyx_v_src_extent = (__pyx_v_src_shape[0]);


  /* "View.MemoryView":1148

 *     cdef Py_ssize_t i

 *     cdef Py_ssize_t src_extent = src_shape[0]

 *     cdef Py_ssize_t dst_extent = dst_shape[0]             # <<<<<<<<<<<<<<

 *     cdef Py_ssize_t src_stride = src_strides[0]

 *     cdef Py_ssize_t dst_stride = dst_strides[0]

 */

  __pyx_v_dst_extent = (__pyx_v_dst_shape[0]);


  /* "View.MemoryView":1149

 *     cdef Py_ssize_t src_extent = src_shape[0]

 *     cdef Py_ssize_t dst_extent = dst_shape[0]

 *     cdef Py_ssize_t src_stride = src_strides[0]             # <<<<<<<<<<<<<<

 *     cdef Py_ssize_t dst_stride = dst_strides[0]

 *

 */

  __pyx_v_src_stride = (__pyx_v_src_strides[0]);


  /* "View.MemoryView":1150

 *     cdef Py_ssize_t dst_extent = dst_shape[0]

 *     cdef Py_ssize_t src_stride = src_strides[0]

 *     cdef Py_ssize_t dst_stride = dst_strides[0]             # <<<<<<<<<<<<<<

 *

 *     if ndim == 1:

 */

  __pyx_v_dst_stride = (__pyx_v_dst_strides[0]);


  /* "View.MemoryView":1152

 *     cdef Py_ssize_t dst_stride = dst_strides[0]

 *

 *     if ndim == 1:             # <<<<<<<<<<<<<<

 *        if (src_stride > 0 and dst_stride > 0 and

 *            <size_t> src_stride == itemsize == <size_t> dst_stride):

 */

  __pyx_t_1 = ((__pyx_v_ndim == 1) != 0);

  if (__pyx_t_1) {


    /* "View.MemoryView":1153

 *

 *     if ndim == 1:

 *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<

 *            <size_t> src_stride == itemsize == <size_t> dst_stride):

 *            memcpy(dst_data, src_data, itemsize * dst_extent)

 */

    __pyx_t_2 = ((__pyx_v_src_stride > 0) != 0);

    if (__pyx_t_2) {

    } else {

      __pyx_t_1 = __pyx_t_2;

      goto __pyx_L5_bool_binop_done;

    }

    __pyx_t_2 = ((__pyx_v_dst_stride > 0) != 0);

    if (__pyx_t_2) {

    } else {

      __pyx_t_1 = __pyx_t_2;

      goto __pyx_L5_bool_binop_done;

    }


    /* "View.MemoryView":1154

 *     if ndim == 1:

 *        if (src_stride > 0 and dst_stride > 0 and

 *            <size_t> src_stride == itemsize == <size_t> dst_stride):             # <<<<<<<<<<<<<<

 *            memcpy(dst_data, src_data, itemsize * dst_extent)

 *        else:

 */

    __pyx_t_2 = (((size_t)__pyx_v_src_stride) == __pyx_v_itemsize);

    if (__pyx_t_2) {

      __pyx_t_2 = (__pyx_v_itemsize == ((size_t)__pyx_v_dst_stride));

    }

    __pyx_t_3 = (__pyx_t_2 != 0);

    __pyx_t_1 = __pyx_t_3;

    __pyx_L5_bool_binop_done:;


    /* "View.MemoryView":1153

 *

 *     if ndim == 1:

 *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<

 *            <size_t> src_stride == itemsize == <size_t> dst_stride):

 *            memcpy(dst_data, src_data, itemsize * dst_extent)

 */

    if (__pyx_t_1) {


      /* "View.MemoryView":1155

 *        if (src_stride > 0 and dst_stride > 0 and

 *            <size_t> src_stride == itemsize == <size_t> dst_stride):

 *            memcpy(dst_data, src_data, itemsize * dst_extent)             # <<<<<<<<<<<<<<

 *        else:

 *            for i in range(dst_extent):

 */

      (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, (__pyx_v_itemsize * __pyx_v_dst_extent)));


      /* "View.MemoryView":1153

 *

 *     if ndim == 1:

 *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<

 *            <size_t> src_stride == itemsize == <size_t> dst_stride):

 *            memcpy(dst_data, src_data, itemsize * dst_extent)

 */

      goto __pyx_L4;

    }


    /* "View.MemoryView":1157

 *            memcpy(dst_data, src_data, itemsize * dst_extent)

 *        else:

 *            for i in range(dst_extent):             # <<<<<<<<<<<<<<

 *                memcpy(dst_data, src_data, itemsize)

 *                src_data += src_stride

 */

    /*else*/ {

      __pyx_t_4 = __pyx_v_dst_extent;

      __pyx_t_5 = __pyx_t_4;

      for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {

        __pyx_v_i = __pyx_t_6;


        /* "View.MemoryView":1158

 *        else:

 *            for i in range(dst_extent):

 *                memcpy(dst_data, src_data, itemsize)             # <<<<<<<<<<<<<<

 *                src_data += src_stride

 *                dst_data += dst_stride

 */

        (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, __pyx_v_itemsize));


        /* "View.MemoryView":1159

 *            for i in range(dst_extent):

 *                memcpy(dst_data, src_data, itemsize)

 *                src_data += src_stride             # <<<<<<<<<<<<<<

 *                dst_data += dst_stride

 *     else:

 */

        __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);


        /* "View.MemoryView":1160

 *                memcpy(dst_data, src_data, itemsize)

 *                src_data += src_stride

 *                dst_data += dst_stride             # <<<<<<<<<<<<<<

 *     else:

 *         for i in range(dst_extent):

 */

        __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);

      }

    }

    __pyx_L4:;


    /* "View.MemoryView":1152

 *     cdef Py_ssize_t dst_stride = dst_strides[0]

 *

 *     if ndim == 1:             # <<<<<<<<<<<<<<

 *        if (src_stride > 0 and dst_stride > 0 and

 *            <size_t> src_stride == itemsize == <size_t> dst_stride):

 */

    goto __pyx_L3;

  }


  /* "View.MemoryView":1162

 *                dst_data += dst_stride

 *     else:

 *         for i in range(dst_extent):             # <<<<<<<<<<<<<<

 *             _copy_strided_to_strided(src_data, src_strides + 1,

 *                                      dst_data, dst_strides + 1,

 */

  /*else*/ {

    __pyx_t_4 = __pyx_v_dst_extent;

    __pyx_t_5 = __pyx_t_4;

    for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {

      __pyx_v_i = __pyx_t_6;


      /* "View.MemoryView":1163

 *     else:

 *         for i in range(dst_extent):

 *             _copy_strided_to_strided(src_data, src_strides + 1,             # <<<<<<<<<<<<<<

 *                                      dst_data, dst_strides + 1,

 *                                      src_shape + 1, dst_shape + 1,

 */

      _copy_strided_to_strided(__pyx_v_src_data, (__pyx_v_src_strides + 1), __pyx_v_dst_data, (__pyx_v_dst_strides + 1), (__pyx_v_src_shape + 1), (__pyx_v_dst_shape + 1), (__pyx_v_ndim - 1), __pyx_v_itemsize);


      /* "View.MemoryView":1167

 *                                      src_shape + 1, dst_shape + 1,

 *                                      ndim - 1, itemsize)

 *             src_data += src_stride             # <<<<<<<<<<<<<<

 *             dst_data += dst_stride

 *

 */

      __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);


      /* "View.MemoryView":1168

 *                                      ndim - 1, itemsize)

 *             src_data += src_stride

 *             dst_data += dst_stride             # <<<<<<<<<<<<<<

 *

 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,

 */

      __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);

    }

  }

  __pyx_L3:;


  /* "View.MemoryView":1140

 *

 * @cython.cdivision(True)

 * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,             # <<<<<<<<<<<<<<

 *                                    char *dst_data, Py_ssize_t *dst_strides,

 *                                    Py_ssize_t *src_shape, Py_ssize_t *dst_shape,

 */


  /* function exit code */

}


/* "View.MemoryView":1170

 *             dst_data += dst_stride

 *

 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<

 *                                   __Pyx_memviewslice *dst,

 *                                   int ndim, size_t itemsize) nogil:

 */


static void copy_strided_to_strided(__Pyx_memviewslice *__pyx_v_src, __Pyx_memviewslice *__pyx_v_dst, int __pyx_v_ndim, size_t __pyx_v_itemsize) {


  /* "View.MemoryView":1173

 *                                   __Pyx_memviewslice *dst,

 *                                   int ndim, size_t itemsize) nogil:

 *     _copy_strided_to_strided(src.data, src.strides, dst.data, dst.strides,             # <<<<<<<<<<<<<<

 *                              src.shape, dst.shape, ndim, itemsize)

 *

 */

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  /* "View.MemoryView":1170

 *             dst_data += dst_stride

 *

 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<

 *                                   __Pyx_memviewslice *dst,

 *                                   int ndim, size_t itemsize) nogil:

 */


  /* function exit code */

}


/* "View.MemoryView":1177

 *

 * @cname('__pyx_memoryview_slice_get_size')

 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:             # <<<<<<<<<<<<<<

 *     "Return the size of the memory occupied by the slice in number of bytes"

 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize

 */


static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *__pyx_v_src, int __pyx_v_ndim) {

  Py_ssize_t __pyx_v_shape;

  Py_ssize_t __pyx_v_size;

  Py_ssize_t __pyx_r;

  Py_ssize_t __pyx_t_1;

  Py_ssize_t *__pyx_t_2;

  Py_ssize_t *__pyx_t_3;

  Py_ssize_t *__pyx_t_4;


  /* "View.MemoryView":1179

 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:

 *     "Return the size of the memory occupied by the slice in number of bytes"

 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize             # <<<<<<<<<<<<<<

 *

 *     for shape in src.shape[:ndim]:

 */

  __pyx_t_1 = __pyx_v_src->memview->view.itemsize;

  __pyx_v_size = __pyx_t_1;


  /* "View.MemoryView":1181

 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize

 *

 *     for shape in src.shape[:ndim]:             # <<<<<<<<<<<<<<

 *         size *= shape

 *

 */

  __pyx_t_3 = (__pyx_v_src->shape + __pyx_v_ndim);

  for (__pyx_t_4 = __pyx_v_src->shape; __pyx_t_4 < __pyx_t_3; __pyx_t_4++) {

    __pyx_t_2 = __pyx_t_4;

    __pyx_v_shape = (__pyx_t_2[0]);


    /* "View.MemoryView":1182

 *

 *     for shape in src.shape[:ndim]:

 *         size *= shape             # <<<<<<<<<<<<<<

 *

 *     return size

 */

    __pyx_v_size = (__pyx_v_size * __pyx_v_shape);

  }


  /* "View.MemoryView":1184

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 *

 *     return size             # <<<<<<<<<<<<<<

 *

 * @cname('__pyx_fill_contig_strides_array')

 */

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  /* "View.MemoryView":1177

 *

 * @cname('__pyx_memoryview_slice_get_size')

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 */


  /* function exit code */

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}


/* "View.MemoryView":1187

 *

 * @cname('__pyx_fill_contig_strides_array')

 * cdef Py_ssize_t fill_contig_strides_array(             # <<<<<<<<<<<<<<

 *                 Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t stride,

 *                 int ndim, char order) nogil:

 */


static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, Py_ssize_t __pyx_v_stride, int __pyx_v_ndim, char __pyx_v_order) {

  int __pyx_v_idx;

  Py_ssize_t __pyx_r;

  int __pyx_t_1;

  int __pyx_t_2;

  int __pyx_t_3;

  int __pyx_t_4;


  /* "View.MemoryView":1196

 *     cdef int idx

 *

 *     if order == 'F':             # <<<<<<<<<<<<<<

 *         for idx in range(ndim):

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 */

  __pyx_t_1 = ((__pyx_v_order == 'F') != 0);

  if (__pyx_t_1) {


    /* "View.MemoryView":1197

 *

 *     if order == 'F':

 *         for idx in range(ndim):             # <<<<<<<<<<<<<<

 *             strides[idx] = stride

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 */

    __pyx_t_2 = __pyx_v_ndim;

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      /* "View.MemoryView":1198

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 */

      (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;


      /* "View.MemoryView":1199

 *         for idx in range(ndim):

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 *             stride *= shape[idx]             # <<<<<<<<<<<<<<

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 */

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    /* "View.MemoryView":1196

 *     cdef int idx

 *

 *     if order == 'F':             # <<<<<<<<<<<<<<

 *         for idx in range(ndim):

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    goto __pyx_L3;

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  /* "View.MemoryView":1201

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 *     else:

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 *             stride *= shape[idx]

 */

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      /* "View.MemoryView":1202

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 *

 */

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      /* "View.MemoryView":1203

 *         for idx in range(ndim - 1, -1, -1):

 *             strides[idx] = stride

 *             stride *= shape[idx]             # <<<<<<<<<<<<<<

 *

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 */

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  /* "View.MemoryView":1205

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 *

 *     return stride             # <<<<<<<<<<<<<<

 *

 * @cname('__pyx_memoryview_copy_data_to_temp')

 */

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  /* "View.MemoryView":1187

 *

 * @cname('__pyx_fill_contig_strides_array')

 * cdef Py_ssize_t fill_contig_strides_array(             # <<<<<<<<<<<<<<

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 *                 int ndim, char order) nogil:

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/* "View.MemoryView":1208

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 * @cname('__pyx_memoryview_copy_data_to_temp')

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 *                              char order,

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 */

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 */

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 *

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 */

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 */

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 */

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 *

 *     for i in range(ndim):             # <<<<<<<<<<<<<<

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    /* "View.MemoryView":1238

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 *     for i in range(ndim):

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 */

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 *     for i in range(ndim):

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 *

 *         if slice_is_contig(src, 'C', ndim):

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 *             direct_copy = slice_is_contig(dst, 'F', ndim)

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 *

 *

 *         if slice_is_contig(src, 'C', ndim):             # <<<<<<<<<<<<<<

 *             direct_copy = slice_is_contig(dst, 'C', ndim)

 *         elif slice_is_contig(src, 'F', ndim):

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    }


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 *         if slice_is_contig(src, 'C', ndim):

 *             direct_copy = slice_is_contig(dst, 'C', ndim)

 *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<

 *             direct_copy = slice_is_contig(dst, 'F', ndim)

 *

 */

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 *             direct_copy = slice_is_contig(dst, 'C', ndim)

 *         elif slice_is_contig(src, 'F', ndim):

 *             direct_copy = slice_is_contig(dst, 'F', ndim)             # <<<<<<<<<<<<<<

 *

 *         if direct_copy:

 */

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      /* "View.MemoryView":1315

 *         if slice_is_contig(src, 'C', ndim):

 *             direct_copy = slice_is_contig(dst, 'C', ndim)

 *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<

 *             direct_copy = slice_is_contig(dst, 'F', ndim)

 *

 */

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 *             direct_copy = slice_is_contig(dst, 'F', ndim)

 *

 *         if direct_copy:             # <<<<<<<<<<<<<<

 *

 *             refcount_copying(&dst, dtype_is_object, ndim, False)

 */

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      /* "View.MemoryView":1320

 *         if direct_copy:

 *

 *             refcount_copying(&dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<

 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))

 *             refcount_copying(&dst, dtype_is_object, ndim, True)

 */

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      /* "View.MemoryView":1321

 *

 *             refcount_copying(&dst, dtype_is_object, ndim, False)

 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))             # <<<<<<<<<<<<<<

 *             refcount_copying(&dst, dtype_is_object, ndim, True)

 *             free(tmpdata)

 */

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 *             refcount_copying(&dst, dtype_is_object, ndim, False)

 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))

 *             refcount_copying(&dst, dtype_is_object, ndim, True)             # <<<<<<<<<<<<<<

 *             free(tmpdata)

 *             return 0

 */

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 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))

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 *             free(tmpdata)             # <<<<<<<<<<<<<<

 *             return 0

 *

 */

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 *         if direct_copy:             # <<<<<<<<<<<<<<

 *

 *             refcount_copying(&dst, dtype_is_object, ndim, False)

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 *     if not broadcasting:             # <<<<<<<<<<<<<<

 *

 *

 */

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 *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<

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 *

 */

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 *

 *

 *         transpose_memslice(&src)             # <<<<<<<<<<<<<<

 *         transpose_memslice(&dst)

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 */

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 *         transpose_memslice(&src)

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 *

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 *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<

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 *

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 *

 *     refcount_copying(&dst, dtype_is_object, ndim, False)

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 */

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 *

 *     free(tmpdata)

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 *     for i in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<

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 *

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 *

 *     for i in range(offset):

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 */

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/* "View.MemoryView":1362

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 * @cname('__pyx_memoryview_refcount_copying')

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/* "View.MemoryView":1371

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 * @cname('__pyx_memoryview_refcount_objects_in_slice_with_gil')

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static void __pyx_memoryview_refcount_objects_in_slice_with_gil(char *__pyx_v_data, Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, int __pyx_v_ndim, int __pyx_v_inc) {

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 * @cname('__pyx_memoryview_refcount_objects_in_slice')

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 * @cname('__pyx_memoryview_refcount_objects_in_slice_with_gil')

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static void __pyx_memoryview_refcount_objects_in_slice(char *__pyx_v_data, Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, int __pyx_v_ndim, int __pyx_v_inc) {

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 *

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 * @cname('__pyx_memoryview_refcount_objects_in_slice')

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/* "View.MemoryView":1397

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 *                               bint dtype_is_object) nogil:

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static void __pyx_memoryview_slice_assign_scalar(__Pyx_memviewslice *__pyx_v_dst, int __pyx_v_ndim, size_t __pyx_v_itemsize, void *__pyx_v_item, int __pyx_v_dtype_is_object) {


  /* "View.MemoryView":1400

 *                               size_t itemsize, void *item,

 *                               bint dtype_is_object) nogil:

 *     refcount_copying(dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<

 *     _slice_assign_scalar(dst.data, dst.shape, dst.strides, ndim,

 *                          itemsize, item)

 */

  __pyx_memoryview_refcount_copying(__pyx_v_dst, __pyx_v_dtype_is_object, __pyx_v_ndim, 0);


  /* "View.MemoryView":1401

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  struct __pyx_MemviewEnum_obj *p;

  PyObject *o;

  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {

    o = (*t->tp_alloc)(t, 0);

  } else {

    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);

  }

  if (unlikely(!o)) return 0;

  p = ((struct __pyx_MemviewEnum_obj *)o);

  p->name = Py_None; Py_INCREF(Py_None);

  return o;

}


static void __pyx_tp_dealloc_Enum(PyObject *o) {

  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;

  #if CYTHON_USE_TP_FINALIZE

  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {

    if (PyObject_CallFinalizerFromDealloc(o)) return;

  }

  #endif

  PyObject_GC_UnTrack(o);

  Py_CLEAR(p->name);

  (*Py_TYPE(o)->tp_free)(o);

}


static int __pyx_tp_traverse_Enum(PyObject *o, visitproc v, void *a) {

  int e;

  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;

  if (p->name) {

    e = (*v)(p->name, a); if (e) return e;

  }

  return 0;

}


static int __pyx_tp_clear_Enum(PyObject *o) {

  PyObject* tmp;

  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;

  tmp = ((PyObject*)p->name);

  p->name = Py_None; Py_INCREF(Py_None);

  Py_XDECREF(tmp);

  return 0;

}


static PyMethodDef __pyx_methods_Enum[] = {

  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_MemviewEnum_1__reduce_cython__, METH_NOARGS, 0},

  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_MemviewEnum_3__setstate_cython__, METH_O, 0},

  {0, 0, 0, 0}

};


static PyTypeObject __pyx_type___pyx_MemviewEnum = {

  PyVarObject_HEAD_INIT(0, 0)

  "csmoothers.Enum", /*tp_name*/

  sizeof(struct __pyx_MemviewEnum_obj), /*tp_basicsize*/

  0, /*tp_itemsize*/

  __pyx_tp_dealloc_Enum, /*tp_dealloc*/

  #if PY_VERSION_HEX < 0x030800b4

  0, /*tp_print*/

  #endif

  #if PY_VERSION_HEX >= 0x030800b4

  0, /*tp_vectorcall_offset*/

  #endif

  0, /*tp_getattr*/

  0, /*tp_setattr*/

  #if PY_MAJOR_VERSION < 3

  0, /*tp_compare*/

  #endif

  #if PY_MAJOR_VERSION >= 3

  0, /*tp_as_async*/

  #endif

  __pyx_MemviewEnum___repr__, /*tp_repr*/

  0, /*tp_as_number*/

  0, /*tp_as_sequence*/

  0, /*tp_as_mapping*/

  0, /*tp_hash*/

  0, /*tp_call*/

  0, /*tp_str*/

  0, /*tp_getattro*/

  0, /*tp_setattro*/

  0, /*tp_as_buffer*/

  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/

  0, /*tp_doc*/

  __pyx_tp_traverse_Enum, /*tp_traverse*/

  __pyx_tp_clear_Enum, /*tp_clear*/

  0, /*tp_richcompare*/

  0, /*tp_weaklistoffset*/

  0, /*tp_iter*/

  0, /*tp_iternext*/

  __pyx_methods_Enum, /*tp_methods*/

  0, /*tp_members*/

  0, /*tp_getset*/

  0, /*tp_base*/

  0, /*tp_dict*/

  0, /*tp_descr_get*/

  0, /*tp_descr_set*/

  0, /*tp_dictoffset*/

  __pyx_MemviewEnum___init__, /*tp_init*/

  0, /*tp_alloc*/

  __pyx_tp_new_Enum, /*tp_new*/

  0, /*tp_free*/

  0, /*tp_is_gc*/

  0, /*tp_bases*/

  0, /*tp_mro*/

  0, /*tp_cache*/

  0, /*tp_subclasses*/

  0, /*tp_weaklist*/

  0, /*tp_del*/

  0, /*tp_version_tag*/

  #if PY_VERSION_HEX >= 0x030400a1

  0, /*tp_finalize*/

  #endif

  #if PY_VERSION_HEX >= 0x030800b1

  0, /*tp_vectorcall*/

  #endif

  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000

  0, /*tp_print*/

  #endif

};

static struct __pyx_vtabstruct_memoryview __pyx_vtable_memoryview;


static PyObject *__pyx_tp_new_memoryview(PyTypeObject *t, PyObject *a, PyObject *k) {

  struct __pyx_memoryview_obj *p;

  PyObject *o;

  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {

    o = (*t->tp_alloc)(t, 0);

  } else {

    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);

  }

  if (unlikely(!o)) return 0;

  p = ((struct __pyx_memoryview_obj *)o);

  p->__pyx_vtab = __pyx_vtabptr_memoryview;

  p->obj = Py_None; Py_INCREF(Py_None);

  p->_size = Py_None; Py_INCREF(Py_None);

  p->_array_interface = Py_None; Py_INCREF(Py_None);

  p->view.obj = NULL;

  if (unlikely(__pyx_memoryview___cinit__(o, a, k) < 0)) goto bad;

  return o;

  bad:

  Py_DECREF(o); o = 0;

  return NULL;

}


static void __pyx_tp_dealloc_memoryview(PyObject *o) {

  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;

  #if CYTHON_USE_TP_FINALIZE

  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {

    if (PyObject_CallFinalizerFromDealloc(o)) return;

  }

  #endif

  PyObject_GC_UnTrack(o);

  {

    PyObject *etype, *eval, *etb;

    PyErr_Fetch(&etype, &eval, &etb);

    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);

    __pyx_memoryview___dealloc__(o);

    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);

    PyErr_Restore(etype, eval, etb);

  }

  Py_CLEAR(p->obj);

  Py_CLEAR(p->_size);

  Py_CLEAR(p->_array_interface);

  (*Py_TYPE(o)->tp_free)(o);

}


static int __pyx_tp_traverse_memoryview(PyObject *o, visitproc v, void *a) {

  int e;

  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;

  if (p->obj) {

    e = (*v)(p->obj, a); if (e) return e;

  }

  if (p->_size) {

    e = (*v)(p->_size, a); if (e) return e;

  }

  if (p->_array_interface) {

    e = (*v)(p->_array_interface, a); if (e) return e;

  }

  if (p->view.obj) {

    e = (*v)(p->view.obj, a); if (e) return e;

  }

  return 0;

}


static int __pyx_tp_clear_memoryview(PyObject *o) {

  PyObject* tmp;

  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;

  tmp = ((PyObject*)p->obj);

  p->obj = Py_None; Py_INCREF(Py_None);

  Py_XDECREF(tmp);

  tmp = ((PyObject*)p->_size);

  p->_size = Py_None; Py_INCREF(Py_None);

  Py_XDECREF(tmp);

  tmp = ((PyObject*)p->_array_interface);

  p->_array_interface = Py_None; Py_INCREF(Py_None);

  Py_XDECREF(tmp);

  Py_CLEAR(p->view.obj);

  return 0;

}

static PyObject *__pyx_sq_item_memoryview(PyObject *o, Py_ssize_t i) {

  PyObject *r;

  PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;

  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);

  Py_DECREF(x);

  return r;

}


static int __pyx_mp_ass_subscript_memoryview(PyObject *o, PyObject *i, PyObject *v) {

  if (v) {

    return __pyx_memoryview___setitem__(o, i, v);

  }

  else {

    PyErr_Format(PyExc_NotImplementedError,

      "Subscript deletion not supported by %.200s", Py_TYPE(o)->tp_name);

    return -1;

  }

}


static PyObject *__pyx_getprop___pyx_memoryview_T(PyObject *o, CYTHON_UNUSED void *x) {

  return __pyx_pw_15View_dot_MemoryView_10memoryview_1T_1__get__(o);

}


static PyObject *__pyx_getprop___pyx_memoryview_base(PyObject *o, CYTHON_UNUSED void *x) {

  return __pyx_pw_15View_dot_MemoryView_10memoryview_4base_1__get__(o);

}


static PyObject *__pyx_getprop___pyx_memoryview_shape(PyObject *o, CYTHON_UNUSED void *x) {

  return __pyx_pw_15View_dot_MemoryView_10memoryview_5shape_1__get__(o);

}


static PyObject *__pyx_getprop___pyx_memoryview_strides(PyObject *o, CYTHON_UNUSED void *x) {

  return __pyx_pw_15View_dot_MemoryView_10memoryview_7strides_1__get__(o);

}


static PyObject *__pyx_getprop___pyx_memoryview_suboffsets(PyObject *o, CYTHON_UNUSED void *x) {

  return __pyx_pw_15View_dot_MemoryView_10memoryview_10suboffsets_1__get__(o);

}


static PyObject *__pyx_getprop___pyx_memoryview_ndim(PyObject *o, CYTHON_UNUSED void *x) {

  return __pyx_pw_15View_dot_MemoryView_10memoryview_4ndim_1__get__(o);

}


static PyObject *__pyx_getprop___pyx_memoryview_itemsize(PyObject *o, CYTHON_UNUSED void *x) {

  return __pyx_pw_15View_dot_MemoryView_10memoryview_8itemsize_1__get__(o);

}


static PyObject *__pyx_getprop___pyx_memoryview_nbytes(PyObject *o, CYTHON_UNUSED void *x) {

  return __pyx_pw_15View_dot_MemoryView_10memoryview_6nbytes_1__get__(o);

}


static PyObject *__pyx_getprop___pyx_memoryview_size(PyObject *o, CYTHON_UNUSED void *x) {

  return __pyx_pw_15View_dot_MemoryView_10memoryview_4size_1__get__(o);

}


static PyMethodDef __pyx_methods_memoryview[] = {

  {"is_c_contig", (PyCFunction)__pyx_memoryview_is_c_contig, METH_NOARGS, 0},

  {"is_f_contig", (PyCFunction)__pyx_memoryview_is_f_contig, METH_NOARGS, 0},

  {"copy", (PyCFunction)__pyx_memoryview_copy, METH_NOARGS, 0},

  {"copy_fortran", (PyCFunction)__pyx_memoryview_copy_fortran, METH_NOARGS, 0},

  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_memoryview_1__reduce_cython__, METH_NOARGS, 0},

  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_memoryview_3__setstate_cython__, METH_O, 0},

  {0, 0, 0, 0}

};


static struct PyGetSetDef __pyx_getsets_memoryview[] = {

  {(char *)"T", __pyx_getprop___pyx_memoryview_T, 0, (char *)0, 0},

  {(char *)"base", __pyx_getprop___pyx_memoryview_base, 0, (char *)0, 0},

  {(char *)"shape", __pyx_getprop___pyx_memoryview_shape, 0, (char *)0, 0},

  {(char *)"strides", __pyx_getprop___pyx_memoryview_strides, 0, (char *)0, 0},

  {(char *)"suboffsets", __pyx_getprop___pyx_memoryview_suboffsets, 0, (char *)0, 0},

  {(char *)"ndim", __pyx_getprop___pyx_memoryview_ndim, 0, (char *)0, 0},

  {(char *)"itemsize", __pyx_getprop___pyx_memoryview_itemsize, 0, (char *)0, 0},

  {(char *)"nbytes", __pyx_getprop___pyx_memoryview_nbytes, 0, (char *)0, 0},

  {(char *)"size", __pyx_getprop___pyx_memoryview_size, 0, (char *)0, 0},

  {0, 0, 0, 0, 0}

};


static PySequenceMethods __pyx_tp_as_sequence_memoryview = {

  __pyx_memoryview___len__, /*sq_length*/

  0, /*sq_concat*/

  0, /*sq_repeat*/

  __pyx_sq_item_memoryview, /*sq_item*/

  0, /*sq_slice*/

  0, /*sq_ass_item*/

  0, /*sq_ass_slice*/

  0, /*sq_contains*/

  0, /*sq_inplace_concat*/

  0, /*sq_inplace_repeat*/

};


static PyMappingMethods __pyx_tp_as_mapping_memoryview = {

  __pyx_memoryview___len__, /*mp_length*/

  __pyx_memoryview___getitem__, /*mp_subscript*/

  __pyx_mp_ass_subscript_memoryview, /*mp_ass_subscript*/

};


static PyBufferProcs __pyx_tp_as_buffer_memoryview = {

  #if PY_MAJOR_VERSION < 3

  0, /*bf_getreadbuffer*/

  #endif

  #if PY_MAJOR_VERSION < 3

  0, /*bf_getwritebuffer*/

  #endif

  #if PY_MAJOR_VERSION < 3

  0, /*bf_getsegcount*/

  #endif

  #if PY_MAJOR_VERSION < 3

  0, /*bf_getcharbuffer*/

  #endif

  __pyx_memoryview_getbuffer, /*bf_getbuffer*/

  0, /*bf_releasebuffer*/

};


static PyTypeObject __pyx_type___pyx_memoryview = {

  PyVarObject_HEAD_INIT(0, 0)

  "csmoothers.memoryview", /*tp_name*/

  sizeof(struct __pyx_memoryview_obj), /*tp_basicsize*/

  0, /*tp_itemsize*/

  __pyx_tp_dealloc_memoryview, /*tp_dealloc*/

  #if PY_VERSION_HEX < 0x030800b4

  0, /*tp_print*/

  #endif

  #if PY_VERSION_HEX >= 0x030800b4

  0, /*tp_vectorcall_offset*/

  #endif

  0, /*tp_getattr*/

  0, /*tp_setattr*/

  #if PY_MAJOR_VERSION < 3

  0, /*tp_compare*/

  #endif

  #if PY_MAJOR_VERSION >= 3

  0, /*tp_as_async*/

  #endif

  __pyx_memoryview___repr__, /*tp_repr*/

  0, /*tp_as_number*/

  &__pyx_tp_as_sequence_memoryview, /*tp_as_sequence*/

  &__pyx_tp_as_mapping_memoryview, /*tp_as_mapping*/

  0, /*tp_hash*/

  0, /*tp_call*/

  __pyx_memoryview___str__, /*tp_str*/

  0, /*tp_getattro*/

  0, /*tp_setattro*/

  &__pyx_tp_as_buffer_memoryview, /*tp_as_buffer*/

  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/

  0, /*tp_doc*/

  __pyx_tp_traverse_memoryview, /*tp_traverse*/

  __pyx_tp_clear_memoryview, /*tp_clear*/

  0, /*tp_richcompare*/

  0, /*tp_weaklistoffset*/

  0, /*tp_iter*/

  0, /*tp_iternext*/

  __pyx_methods_memoryview, /*tp_methods*/

  0, /*tp_members*/

  __pyx_getsets_memoryview, /*tp_getset*/

  0, /*tp_base*/

  0, /*tp_dict*/

  0, /*tp_descr_get*/

  0, /*tp_descr_set*/

  0, /*tp_dictoffset*/

  0, /*tp_init*/

  0, /*tp_alloc*/

  __pyx_tp_new_memoryview, /*tp_new*/

  0, /*tp_free*/

  0, /*tp_is_gc*/

  0, /*tp_bases*/

  0, /*tp_mro*/

  0, /*tp_cache*/

  0, /*tp_subclasses*/

  0, /*tp_weaklist*/

  0, /*tp_del*/

  0, /*tp_version_tag*/

  #if PY_VERSION_HEX >= 0x030400a1

  0, /*tp_finalize*/

  #endif

  #if PY_VERSION_HEX >= 0x030800b1

  0, /*tp_vectorcall*/

  #endif

  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000

  0, /*tp_print*/

  #endif

};

static struct __pyx_vtabstruct__memoryviewslice __pyx_vtable__memoryviewslice;


static PyObject *__pyx_tp_new__memoryviewslice(PyTypeObject *t, PyObject *a, PyObject *k) {

  struct __pyx_memoryviewslice_obj *p;

  PyObject *o = __pyx_tp_new_memoryview(t, a, k);

  if (unlikely(!o)) return 0;

  p = ((struct __pyx_memoryviewslice_obj *)o);

  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_memoryview*)__pyx_vtabptr__memoryviewslice;

  p->from_object = Py_None; Py_INCREF(Py_None);

  p->from_slice.memview = NULL;

  return o;

}


static void __pyx_tp_dealloc__memoryviewslice(PyObject *o) {

  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;

  #if CYTHON_USE_TP_FINALIZE

  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {

    if (PyObject_CallFinalizerFromDealloc(o)) return;

  }

  #endif

  PyObject_GC_UnTrack(o);

  {

    PyObject *etype, *eval, *etb;

    PyErr_Fetch(&etype, &eval, &etb);

    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);

    __pyx_memoryviewslice___dealloc__(o);

    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);

    PyErr_Restore(etype, eval, etb);

  }

  Py_CLEAR(p->from_object);

  PyObject_GC_Track(o);

  __pyx_tp_dealloc_memoryview(o);

}


static int __pyx_tp_traverse__memoryviewslice(PyObject *o, visitproc v, void *a) {

  int e;

  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;

  e = __pyx_tp_traverse_memoryview(o, v, a); if (e) return e;

  if (p->from_object) {

    e = (*v)(p->from_object, a); if (e) return e;

  }

  return 0;

}


static int __pyx_tp_clear__memoryviewslice(PyObject *o) {

  PyObject* tmp;

  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;

  __pyx_tp_clear_memoryview(o);

  tmp = ((PyObject*)p->from_object);

  p->from_object = Py_None; Py_INCREF(Py_None);

  Py_XDECREF(tmp);

  __PYX_XDEC_MEMVIEW(&p->from_slice, 1);

  return 0;

}


static PyObject *__pyx_getprop___pyx_memoryviewslice_base(PyObject *o, CYTHON_UNUSED void *x) {

  return __pyx_pw_15View_dot_MemoryView_16_memoryviewslice_4base_1__get__(o);

}


static PyMethodDef __pyx_methods__memoryviewslice[] = {

  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_memoryviewslice_1__reduce_cython__, METH_NOARGS, 0},

  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_memoryviewslice_3__setstate_cython__, METH_O, 0},

  {0, 0, 0, 0}

};


static struct PyGetSetDef __pyx_getsets__memoryviewslice[] = {

  {(char *)"base", __pyx_getprop___pyx_memoryviewslice_base, 0, (char *)0, 0},

  {0, 0, 0, 0, 0}

};


static PyTypeObject __pyx_type___pyx_memoryviewslice = {

  PyVarObject_HEAD_INIT(0, 0)

  "csmoothers._memoryviewslice", /*tp_name*/

  sizeof(struct __pyx_memoryviewslice_obj), /*tp_basicsize*/

  0, /*tp_itemsize*/

  __pyx_tp_dealloc__memoryviewslice, /*tp_dealloc*/

  #if PY_VERSION_HEX < 0x030800b4

  0, /*tp_print*/

  #endif

  #if PY_VERSION_HEX >= 0x030800b4

  0, /*tp_vectorcall_offset*/

  #endif

  0, /*tp_getattr*/

  0, /*tp_setattr*/

  #if PY_MAJOR_VERSION < 3

  0, /*tp_compare*/

  #endif

  #if PY_MAJOR_VERSION >= 3

  0, /*tp_as_async*/

  #endif

  #if CYTHON_COMPILING_IN_PYPY

  __pyx_memoryview___repr__, /*tp_repr*/

  #else

  0, /*tp_repr*/

  #endif

  0, /*tp_as_number*/

  0, /*tp_as_sequence*/

  0, /*tp_as_mapping*/

  0, /*tp_hash*/

  0, /*tp_call*/

  #if CYTHON_COMPILING_IN_PYPY

  __pyx_memoryview___str__, /*tp_str*/

  #else

  0, /*tp_str*/

  #endif

  0, /*tp_getattro*/

  0, /*tp_setattro*/

  0, /*tp_as_buffer*/

  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/

  "Internal class for passing memoryview slices to Python", /*tp_doc*/

  __pyx_tp_traverse__memoryviewslice, /*tp_traverse*/

  __pyx_tp_clear__memoryviewslice, /*tp_clear*/

  0, /*tp_richcompare*/

  0, /*tp_weaklistoffset*/

  0, /*tp_iter*/

  0, /*tp_iternext*/

  __pyx_methods__memoryviewslice, /*tp_methods*/

  0, /*tp_members*/

  __pyx_getsets__memoryviewslice, /*tp_getset*/

  0, /*tp_base*/

  0, /*tp_dict*/

  0, /*tp_descr_get*/

  0, /*tp_descr_set*/

  0, /*tp_dictoffset*/

  0, /*tp_init*/

  0, /*tp_alloc*/

  __pyx_tp_new__memoryviewslice, /*tp_new*/

  0, /*tp_free*/

  0, /*tp_is_gc*/

  0, /*tp_bases*/

  0, /*tp_mro*/

  0, /*tp_cache*/

  0, /*tp_subclasses*/

  0, /*tp_weaklist*/

  0, /*tp_del*/

  0, /*tp_version_tag*/

  #if PY_VERSION_HEX >= 0x030400a1

  0, /*tp_finalize*/

  #endif

  #if PY_VERSION_HEX >= 0x030800b1

  0, /*tp_vectorcall*/

  #endif

  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000

  0, /*tp_print*/

  #endif

};


static PyMethodDef __pyx_methods[] = {

  {0, 0, 0, 0}

};


#if PY_MAJOR_VERSION >= 3

#if CYTHON_PEP489_MULTI_PHASE_INIT

static PyObject* __pyx_pymod_create(PyObject *spec, PyModuleDef *def); /*proto*/

static int __pyx_pymod_exec_csmoothers(PyObject* module); /*proto*/

static PyModuleDef_Slot __pyx_moduledef_slots[] = {

  {Py_mod_create, (void*)__pyx_pymod_create},

  {Py_mod_exec, (void*)__pyx_pymod_exec_csmoothers},

  {0, NULL}

};

#endif


static struct PyModuleDef __pyx_moduledef = {

    PyModuleDef_HEAD_INIT,

    "csmoothers",

    0, /* m_doc */

  #if CYTHON_PEP489_MULTI_PHASE_INIT

    0, /* m_size */

  #else

    -1, /* m_size */

  #endif

    __pyx_methods /* m_methods */,

  #if CYTHON_PEP489_MULTI_PHASE_INIT

    __pyx_moduledef_slots, /* m_slots */

  #else

    NULL, /* m_reload */

  #endif

    NULL, /* m_traverse */

    NULL, /* m_clear */

    NULL /* m_free */

};

#endif

#ifndef CYTHON_SMALL_CODE

#if defined(__clang__)

    #define CYTHON_SMALL_CODE

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#else

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#endif

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    kwdefs = PyFunction_GET_KW_DEFAULTS(func);

#endif

    if (argdefs != NULL) {

        d = &PyTuple_GET_ITEM(argdefs, 0);

        nd = Py_SIZE(argdefs);

    }

    else {

        d = NULL;

        nd = 0;

    }

#if PY_MAJOR_VERSION >= 3

    result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,

                               args, (int)nargs,

                               k, (int)nk,

                               d, (int)nd, kwdefs, closure);

#else

    result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,

                               args, (int)nargs,

                               k, (int)nk,

                               d, (int)nd, closure);

#endif

    Py_XDECREF(kwtuple);

done:

    Py_LeaveRecursiveCall();

    return result;

}

#endif

#endif


/* PyObjectCall */

#if CYTHON_COMPILING_IN_CPYTHON

static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {

    PyObject *result;

    ternaryfunc call = Py_TYPE(func)->tp_call;

    if (unlikely(!call))

        return PyObject_Call(func, arg, kw);

    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))

        return NULL;

    result = (*call)(func, arg, kw);

    Py_LeaveRecursiveCall();

    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {

        PyErr_SetString(

            PyExc_SystemError,

            "NULL result without error in PyObject_Call");

    }

    return result;

}

#endif


/* PyObjectCallMethO */

#if CYTHON_COMPILING_IN_CPYTHON

static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {

    PyObject *self, *result;

    PyCFunction cfunc;

    cfunc = PyCFunction_GET_FUNCTION(func);

    self = PyCFunction_GET_SELF(func);

    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))

        return NULL;

    result = cfunc(self, arg);

    Py_LeaveRecursiveCall();

    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {

        PyErr_SetString(

            PyExc_SystemError,

            "NULL result without error in PyObject_Call");

    }

    return result;

}

#endif


/* PyObjectCallOneArg */

#if CYTHON_COMPILING_IN_CPYTHON

static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {

    PyObject *result;

    PyObject *args = PyTuple_New(1);

    if (unlikely(!args)) return NULL;

    Py_INCREF(arg);

    PyTuple_SET_ITEM(args, 0, arg);

    result = __Pyx_PyObject_Call(func, args, NULL);

    Py_DECREF(args);

    return result;

}

static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {

#if CYTHON_FAST_PYCALL

    if (PyFunction_Check(func)) {

        return __Pyx_PyFunction_FastCall(func, &arg, 1);

    }

#endif

    if (likely(PyCFunction_Check(func))) {

        if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {

            return __Pyx_PyObject_CallMethO(func, arg);

#if CYTHON_FAST_PYCCALL

        } else if (__Pyx_PyFastCFunction_Check(func)) {

            return __Pyx_PyCFunction_FastCall(func, &arg, 1);

#endif

        }

    }

    return __Pyx__PyObject_CallOneArg(func, arg);

}

#else

static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {

    PyObject *result;

    PyObject *args = PyTuple_Pack(1, arg);

    if (unlikely(!args)) return NULL;

    result = __Pyx_PyObject_Call(func, args, NULL);

    Py_DECREF(args);

    return result;

}

#endif


/* ArgTypeTest */

static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact)

{

    if (unlikely(!type)) {

        PyErr_SetString(PyExc_SystemError, "Missing type object");

        return 0;

    }

    else if (exact) {

        #if PY_MAJOR_VERSION == 2

        if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;

        #endif

    }

    else {

        if (likely(__Pyx_TypeCheck(obj, type))) return 1;

    }

    PyErr_Format(PyExc_TypeError,

        "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",

        name, type->tp_name, Py_TYPE(obj)->tp_name);

    return 0;

}


/* PyErrFetchRestore */

#if CYTHON_FAST_THREAD_STATE

static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {

    PyObject *tmp_type, *tmp_value, *tmp_tb;

    tmp_type = tstate->curexc_type;

    tmp_value = tstate->curexc_value;

    tmp_tb = tstate->curexc_traceback;

    tstate->curexc_type = type;

    tstate->curexc_value = value;

    tstate->curexc_traceback = tb;

    Py_XDECREF(tmp_type);

    Py_XDECREF(tmp_value);

    Py_XDECREF(tmp_tb);

}

static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {

    *type = tstate->curexc_type;

    *value = tstate->curexc_value;

    *tb = tstate->curexc_traceback;

    tstate->curexc_type = 0;

    tstate->curexc_value = 0;

    tstate->curexc_traceback = 0;

}

#endif


/* RaiseException */

#if PY_MAJOR_VERSION < 3

static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,

                        CYTHON_UNUSED PyObject *cause) {

    __Pyx_PyThreadState_declare

    Py_XINCREF(type);

    if (!value || value == Py_None)

        value = NULL;

    else

        Py_INCREF(value);

    if (!tb || tb == Py_None)

        tb = NULL;

    else {

        Py_INCREF(tb);

        if (!PyTraceBack_Check(tb)) {

            PyErr_SetString(PyExc_TypeError,

                "raise: arg 3 must be a traceback or None");

            goto raise_error;

        }

    }

    if (PyType_Check(type)) {

#if CYTHON_COMPILING_IN_PYPY

        if (!value) {

            Py_INCREF(Py_None);

            value = Py_None;

        }

#endif

        PyErr_NormalizeException(&type, &value, &tb);

    } else {

        if (value) {

            PyErr_SetString(PyExc_TypeError,

                "instance exception may not have a separate value");

            goto raise_error;

        }

        value = type;

        type = (PyObject*) Py_TYPE(type);

        Py_INCREF(type);

        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {

            PyErr_SetString(PyExc_TypeError,

                "raise: exception class must be a subclass of BaseException");

            goto raise_error;

        }

    }

    __Pyx_PyThreadState_assign

    __Pyx_ErrRestore(type, value, tb);

    return;

raise_error:

    Py_XDECREF(value);

    Py_XDECREF(type);

    Py_XDECREF(tb);

    return;

}

#else

static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {

    PyObject* owned_instance = NULL;

    if (tb == Py_None) {

        tb = 0;

    } else if (tb && !PyTraceBack_Check(tb)) {

        PyErr_SetString(PyExc_TypeError,

            "raise: arg 3 must be a traceback or None");

        goto bad;

    }

    if (value == Py_None)

        value = 0;

    if (PyExceptionInstance_Check(type)) {

        if (value) {

            PyErr_SetString(PyExc_TypeError,

                "instance exception may not have a separate value");

            goto bad;

        }

        value = type;

        type = (PyObject*) Py_TYPE(value);

    } else if (PyExceptionClass_Check(type)) {

        PyObject *instance_class = NULL;

        if (value && PyExceptionInstance_Check(value)) {

            instance_class = (PyObject*) Py_TYPE(value);

            if (instance_class != type) {

                int is_subclass = PyObject_IsSubclass(instance_class, type);

                if (!is_subclass) {

                    instance_class = NULL;

                } else if (unlikely(is_subclass == -1)) {

                    goto bad;

                } else {

                    type = instance_class;

                }

            }

        }

        if (!instance_class) {

            PyObject *args;

            if (!value)

                args = PyTuple_New(0);

            else if (PyTuple_Check(value)) {

                Py_INCREF(value);

                args = value;

            } else

                args = PyTuple_Pack(1, value);

            if (!args)

                goto bad;

            owned_instance = PyObject_Call(type, args, NULL);

            Py_DECREF(args);

            if (!owned_instance)

                goto bad;

            value = owned_instance;

            if (!PyExceptionInstance_Check(value)) {

                PyErr_Format(PyExc_TypeError,

                             "calling %R should have returned an instance of "

                             "BaseException, not %R",

                             type, Py_TYPE(value));

                goto bad;

            }

        }

    } else {

        PyErr_SetString(PyExc_TypeError,

            "raise: exception class must be a subclass of BaseException");

        goto bad;

    }

    if (cause) {

        PyObject *fixed_cause;

        if (cause == Py_None) {

            fixed_cause = NULL;

        } else if (PyExceptionClass_Check(cause)) {

            fixed_cause = PyObject_CallObject(cause, NULL);

            if (fixed_cause == NULL)

                goto bad;

        } else if (PyExceptionInstance_Check(cause)) {

            fixed_cause = cause;

            Py_INCREF(fixed_cause);

        } else {

            PyErr_SetString(PyExc_TypeError,

                            "exception causes must derive from "

                            "BaseException");

            goto bad;

        }

        PyException_SetCause(value, fixed_cause);

    }

    PyErr_SetObject(type, value);

    if (tb) {

#if CYTHON_COMPILING_IN_PYPY

        PyObject *tmp_type, *tmp_value, *tmp_tb;

        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);

        Py_INCREF(tb);

        PyErr_Restore(tmp_type, tmp_value, tb);

        Py_XDECREF(tmp_tb);

#else

        PyThreadState *tstate = __Pyx_PyThreadState_Current;

        PyObject* tmp_tb = tstate->curexc_traceback;

        if (tb != tmp_tb) {

            Py_INCREF(tb);

            tstate->curexc_traceback = tb;

            Py_XDECREF(tmp_tb);

        }

#endif

    }

bad:

    Py_XDECREF(owned_instance);

    return;

}

#endif


/* ExtTypeTest */

static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {

    if (unlikely(!type)) {

        PyErr_SetString(PyExc_SystemError, "Missing type object");

        return 0;

    }

    if (likely(__Pyx_TypeCheck(obj, type)))

        return 1;

    PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s",

                 Py_TYPE(obj)->tp_name, type->tp_name);

    return 0;

}


/* MemviewSliceInit */

static int

__Pyx_init_memviewslice(struct __pyx_memoryview_obj *memview,

                        int ndim,

                        __Pyx_memviewslice *memviewslice,

                        int memview_is_new_reference)

{

    __Pyx_RefNannyDeclarations

    int i, retval=-1;

    Py_buffer *buf = &memview->view;

    __Pyx_RefNannySetupContext("init_memviewslice", 0);

    if (unlikely(memviewslice->memview || memviewslice->data)) {

        PyErr_SetString(PyExc_ValueError,

            "memviewslice is already initialized!");

        goto fail;

    }

    if (buf->strides) {

        for (i = 0; i < ndim; i++) {

            memviewslice->strides[i] = buf->strides[i];

        }

    } else {

        Py_ssize_t stride = buf->itemsize;

        for (i = ndim - 1; i >= 0; i--) {

            memviewslice->strides[i] = stride;

            stride *= buf->shape[i];

        }

    }

    for (i = 0; i < ndim; i++) {

        memviewslice->shape[i]   = buf->shape[i];

        if (buf->suboffsets) {

            memviewslice->suboffsets[i] = buf->suboffsets[i];

        } else {

            memviewslice->suboffsets[i] = -1;

        }

    }

    memviewslice->memview = memview;

    memviewslice->data = (char *)buf->buf;

    if (__pyx_add_acquisition_count(memview) == 0 && !memview_is_new_reference) {

        Py_INCREF(memview);

    }

    retval = 0;

    goto no_fail;

fail:

    memviewslice->memview = 0;

    memviewslice->data = 0;

    retval = -1;

no_fail:

    __Pyx_RefNannyFinishContext();

    return retval;

}

#ifndef Py_NO_RETURN

#define Py_NO_RETURN

#endif

static void __pyx_fatalerror(const char *fmt, ...) Py_NO_RETURN {

    va_list vargs;

    char msg[200];

#ifdef HAVE_STDARG_PROTOTYPES

    va_start(vargs, fmt);

#else

    va_start(vargs);

#endif

    vsnprintf(msg, 200, fmt, vargs);

    va_end(vargs);

    Py_FatalError(msg);

}

static CYTHON_INLINE int

__pyx_add_acquisition_count_locked(__pyx_atomic_int *acquisition_count,

                                   PyThread_type_lock lock)

{

    int result;

    PyThread_acquire_lock(lock, 1);

    result = (*acquisition_count)++;

    PyThread_release_lock(lock);

    return result;

}

static CYTHON_INLINE int

__pyx_sub_acquisition_count_locked(__pyx_atomic_int *acquisition_count,

                                   PyThread_type_lock lock)

{

    int result;

    PyThread_acquire_lock(lock, 1);

    result = (*acquisition_count)--;

    PyThread_release_lock(lock);

    return result;

}

static CYTHON_INLINE void

__Pyx_INC_MEMVIEW(__Pyx_memviewslice *memslice, int have_gil, int lineno)

{

    int first_time;

    struct __pyx_memoryview_obj *memview = memslice->memview;

    if (unlikely(!memview || (PyObject *) memview == Py_None))

        return;

    if (unlikely(__pyx_get_slice_count(memview) < 0))

        __pyx_fatalerror("Acquisition count is %d (line %d)",

                         __pyx_get_slice_count(memview), lineno);

    first_time = __pyx_add_acquisition_count(memview) == 0;

    if (unlikely(first_time)) {

        if (have_gil) {

            Py_INCREF((PyObject *) memview);

        } else {

            PyGILState_STATE _gilstate = PyGILState_Ensure();

            Py_INCREF((PyObject *) memview);

            PyGILState_Release(_gilstate);

        }

    }

}

static CYTHON_INLINE void __Pyx_XDEC_MEMVIEW(__Pyx_memviewslice *memslice,

                                             int have_gil, int lineno) {

    int last_time;

    struct __pyx_memoryview_obj *memview = memslice->memview;

    if (unlikely(!memview || (PyObject *) memview == Py_None)) {

        memslice->memview = NULL;

        return;

    }

    if (unlikely(__pyx_get_slice_count(memview) <= 0))

        __pyx_fatalerror("Acquisition count is %d (line %d)",

                         __pyx_get_slice_count(memview), lineno);

    last_time = __pyx_sub_acquisition_count(memview) == 1;

    memslice->data = NULL;

    if (unlikely(last_time)) {

        if (have_gil) {

            Py_CLEAR(memslice->memview);

        } else {

            PyGILState_STATE _gilstate = PyGILState_Ensure();

            Py_CLEAR(memslice->memview);

            PyGILState_Release(_gilstate);

        }

    } else {

        memslice->memview = NULL;

    }

}


/* BufferIndexError */

static void __Pyx_RaiseBufferIndexError(int axis) {

  PyErr_Format(PyExc_IndexError,

     "Out of bounds on buffer access (axis %d)", axis);

}


/* WriteUnraisableException */

static void __Pyx_WriteUnraisable(const char *name, CYTHON_UNUSED int clineno,

                                  CYTHON_UNUSED int lineno, CYTHON_UNUSED const char *filename,

                                  int full_traceback, CYTHON_UNUSED int nogil) {

    PyObject *old_exc, *old_val, *old_tb;

    PyObject *ctx;

    __Pyx_PyThreadState_declare

#ifdef WITH_THREAD

    PyGILState_STATE state;

    if (nogil)

        state = PyGILState_Ensure();

#ifdef _MSC_VER

    else state = (PyGILState_STATE)-1;

#endif

#endif

    __Pyx_PyThreadState_assign

    __Pyx_ErrFetch(&old_exc, &old_val, &old_tb);

    if (full_traceback) {

        Py_XINCREF(old_exc);

        Py_XINCREF(old_val);

        Py_XINCREF(old_tb);

        __Pyx_ErrRestore(old_exc, old_val, old_tb);

        PyErr_PrintEx(1);

    }

    #if PY_MAJOR_VERSION < 3

    ctx = PyString_FromString(name);

    #else

    ctx = PyUnicode_FromString(name);

    #endif

    __Pyx_ErrRestore(old_exc, old_val, old_tb);

    if (!ctx) {

        PyErr_WriteUnraisable(Py_None);

    } else {

        PyErr_WriteUnraisable(ctx);

        Py_DECREF(ctx);

    }

#ifdef WITH_THREAD

    if (nogil)

        PyGILState_Release(state);

#endif

}


/* GetTopmostException */

#if CYTHON_USE_EXC_INFO_STACK

static _PyErr_StackItem *

__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)

{

    _PyErr_StackItem *exc_info = tstate->exc_info;

    while ((exc_info->exc_type == NULL || exc_info->exc_type == Py_None) &&

           exc_info->previous_item != NULL)

    {

        exc_info = exc_info->previous_item;

    }

    return exc_info;

}

#endif


/* SaveResetException */

#if CYTHON_FAST_THREAD_STATE

static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {

    #if CYTHON_USE_EXC_INFO_STACK

    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);

    *type = exc_info->exc_type;

    *value = exc_info->exc_value;

    *tb = exc_info->exc_traceback;

    #else

    *type = tstate->exc_type;

    *value = tstate->exc_value;

    *tb = tstate->exc_traceback;

    #endif

    Py_XINCREF(*type);

    Py_XINCREF(*value);

    Py_XINCREF(*tb);

}

static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {

    PyObject *tmp_type, *tmp_value, *tmp_tb;

    #if CYTHON_USE_EXC_INFO_STACK

    _PyErr_StackItem *exc_info = tstate->exc_info;

    tmp_type = exc_info->exc_type;

    tmp_value = exc_info->exc_value;

    tmp_tb = exc_info->exc_traceback;

    exc_info->exc_type = type;

    exc_info->exc_value = value;

    exc_info->exc_traceback = tb;

    #else

    tmp_type = tstate->exc_type;

    tmp_value = tstate->exc_value;

    tmp_tb = tstate->exc_traceback;

    tstate->exc_type = type;

    tstate->exc_value = value;

    tstate->exc_traceback = tb;

    #endif

    Py_XDECREF(tmp_type);

    Py_XDECREF(tmp_value);

    Py_XDECREF(tmp_tb);

}

#endif


/* PyErrExceptionMatches */

#if CYTHON_FAST_THREAD_STATE

static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {

    Py_ssize_t i, n;

    n = PyTuple_GET_SIZE(tuple);

#if PY_MAJOR_VERSION >= 3

    for (i=0; i<n; i++) {

        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;

    }

#endif

    for (i=0; i<n; i++) {

        if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;

    }

    return 0;

}

static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {

    PyObject *exc_type = tstate->curexc_type;

    if (exc_type == err) return 1;

    if (unlikely(!exc_type)) return 0;

    if (unlikely(PyTuple_Check(err)))

        return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);

    return __Pyx_PyErr_GivenExceptionMatches(exc_type, err);

}

#endif


/* GetException */

#if CYTHON_FAST_THREAD_STATE

static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)

#else

static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)

#endif

{

    PyObject *local_type, *local_value, *local_tb;

#if CYTHON_FAST_THREAD_STATE

    PyObject *tmp_type, *tmp_value, *tmp_tb;

    local_type = tstate->curexc_type;

    local_value = tstate->curexc_value;

    local_tb = tstate->curexc_traceback;

    tstate->curexc_type = 0;

    tstate->curexc_value = 0;

    tstate->curexc_traceback = 0;

#else

    PyErr_Fetch(&local_type, &local_value, &local_tb);

#endif

    PyErr_NormalizeException(&local_type, &local_value, &local_tb);

#if CYTHON_FAST_THREAD_STATE

    if (unlikely(tstate->curexc_type))

#else

    if (unlikely(PyErr_Occurred()))

#endif

        goto bad;

    #if PY_MAJOR_VERSION >= 3

    if (local_tb) {

        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))

            goto bad;

    }

    #endif

    Py_XINCREF(local_tb);

    Py_XINCREF(local_type);

    Py_XINCREF(local_value);

    *type = local_type;

    *value = local_value;

    *tb = local_tb;

#if CYTHON_FAST_THREAD_STATE

    #if CYTHON_USE_EXC_INFO_STACK

    {

        _PyErr_StackItem *exc_info = tstate->exc_info;

        tmp_type = exc_info->exc_type;

        tmp_value = exc_info->exc_value;

        tmp_tb = exc_info->exc_traceback;

        exc_info->exc_type = local_type;

        exc_info->exc_value = local_value;

        exc_info->exc_traceback = local_tb;

    }

    #else

    tmp_type = tstate->exc_type;

    tmp_value = tstate->exc_value;

    tmp_tb = tstate->exc_traceback;

    tstate->exc_type = local_type;

    tstate->exc_value = local_value;

    tstate->exc_traceback = local_tb;

    #endif

    Py_XDECREF(tmp_type);

    Py_XDECREF(tmp_value);

    Py_XDECREF(tmp_tb);

#else

    PyErr_SetExcInfo(local_type, local_value, local_tb);

#endif

    return 0;

bad:

    *type = 0;

    *value = 0;

    *tb = 0;

    Py_XDECREF(local_type);

    Py_XDECREF(local_value);

    Py_XDECREF(local_tb);

    return -1;

}


/* PyObjectCall2Args */

static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {

    PyObject *args, *result = NULL;

    #if CYTHON_FAST_PYCALL

    if (PyFunction_Check(function)) {

        PyObject *args[2] = {arg1, arg2};

        return __Pyx_PyFunction_FastCall(function, args, 2);

    }

    #endif

    #if CYTHON_FAST_PYCCALL

    if (__Pyx_PyFastCFunction_Check(function)) {

        PyObject *args[2] = {arg1, arg2};

        return __Pyx_PyCFunction_FastCall(function, args, 2);

    }

    #endif

    args = PyTuple_New(2);

    if (unlikely(!args)) goto done;

    Py_INCREF(arg1);

    PyTuple_SET_ITEM(args, 0, arg1);

    Py_INCREF(arg2);

    PyTuple_SET_ITEM(args, 1, arg2);

    Py_INCREF(function);

    result = __Pyx_PyObject_Call(function, args, NULL);

    Py_DECREF(args);

    Py_DECREF(function);

done:

    return result;

}


/* BytesEquals */

static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {

#if CYTHON_COMPILING_IN_PYPY

    return PyObject_RichCompareBool(s1, s2, equals);

#else

    if (s1 == s2) {

        return (equals == Py_EQ);

    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {

        const char *ps1, *ps2;

        Py_ssize_t length = PyBytes_GET_SIZE(s1);

        if (length != PyBytes_GET_SIZE(s2))

            return (equals == Py_NE);

        ps1 = PyBytes_AS_STRING(s1);

        ps2 = PyBytes_AS_STRING(s2);

        if (ps1[0] != ps2[0]) {

            return (equals == Py_NE);

        } else if (length == 1) {

            return (equals == Py_EQ);

        } else {

            int result;

#if CYTHON_USE_UNICODE_INTERNALS

            Py_hash_t hash1, hash2;

            hash1 = ((PyBytesObject*)s1)->ob_shash;

            hash2 = ((PyBytesObject*)s2)->ob_shash;

            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {

                return (equals == Py_NE);

            }

#endif

            result = memcmp(ps1, ps2, (size_t)length);

            return (equals == Py_EQ) ? (result == 0) : (result != 0);

        }

    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {

        return (equals == Py_NE);

    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {

        return (equals == Py_NE);

    } else {

        int result;

        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);

        if (!py_result)

            return -1;

        result = __Pyx_PyObject_IsTrue(py_result);

        Py_DECREF(py_result);

        return result;

    }

#endif

}


/* UnicodeEquals */

static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {

#if CYTHON_COMPILING_IN_PYPY

    return PyObject_RichCompareBool(s1, s2, equals);

#else

#if PY_MAJOR_VERSION < 3

    PyObject* owned_ref = NULL;

#endif

    int s1_is_unicode, s2_is_unicode;

    if (s1 == s2) {

        goto return_eq;

    }

    s1_is_unicode = PyUnicode_CheckExact(s1);

    s2_is_unicode = PyUnicode_CheckExact(s2);

#if PY_MAJOR_VERSION < 3

    if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {

        owned_ref = PyUnicode_FromObject(s2);

        if (unlikely(!owned_ref))

            return -1;

        s2 = owned_ref;

        s2_is_unicode = 1;

    } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {

        owned_ref = PyUnicode_FromObject(s1);

        if (unlikely(!owned_ref))

            return -1;

        s1 = owned_ref;

        s1_is_unicode = 1;

    } else if (((!s2_is_unicode) & (!s1_is_unicode))) {

        return __Pyx_PyBytes_Equals(s1, s2, equals);

    }

#endif

    if (s1_is_unicode & s2_is_unicode) {

        Py_ssize_t length;

        int kind;

        void *data1, *data2;

        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))

            return -1;

        length = __Pyx_PyUnicode_GET_LENGTH(s1);

        if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {

            goto return_ne;

        }

#if CYTHON_USE_UNICODE_INTERNALS

        {

            Py_hash_t hash1, hash2;

        #if CYTHON_PEP393_ENABLED

            hash1 = ((PyASCIIObject*)s1)->hash;

            hash2 = ((PyASCIIObject*)s2)->hash;

        #else

            hash1 = ((PyUnicodeObject*)s1)->hash;

            hash2 = ((PyUnicodeObject*)s2)->hash;

        #endif

            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {

                goto return_ne;

            }

        }

#endif

        kind = __Pyx_PyUnicode_KIND(s1);

        if (kind != __Pyx_PyUnicode_KIND(s2)) {

            goto return_ne;

        }

        data1 = __Pyx_PyUnicode_DATA(s1);

        data2 = __Pyx_PyUnicode_DATA(s2);

        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {

            goto return_ne;

        } else if (length == 1) {

            goto return_eq;

        } else {

            int result = memcmp(data1, data2, (size_t)(length * kind));

            #if PY_MAJOR_VERSION < 3

            Py_XDECREF(owned_ref);

            #endif

            return (equals == Py_EQ) ? (result == 0) : (result != 0);

        }

    } else if ((s1 == Py_None) & s2_is_unicode) {

        goto return_ne;

    } else if ((s2 == Py_None) & s1_is_unicode) {

        goto return_ne;

    } else {

        int result;

        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);

        #if PY_MAJOR_VERSION < 3

        Py_XDECREF(owned_ref);

        #endif

        if (!py_result)

            return -1;

        result = __Pyx_PyObject_IsTrue(py_result);

        Py_DECREF(py_result);

        return result;

    }

return_eq:

    #if PY_MAJOR_VERSION < 3

    Py_XDECREF(owned_ref);

    #endif

    return (equals == Py_EQ);

return_ne:

    #if PY_MAJOR_VERSION < 3

    Py_XDECREF(owned_ref);

    #endif

    return (equals == Py_NE);

#endif

}


/* None */

static CYTHON_INLINE Py_ssize_t __Pyx_div_Py_ssize_t(Py_ssize_t a, Py_ssize_t b) {

    Py_ssize_t q = a / b;

    Py_ssize_t r = a - q*b;

    q -= ((r != 0) & ((r ^ b) < 0));

    return q;

}


/* GetAttr */

static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {

#if CYTHON_USE_TYPE_SLOTS

#if PY_MAJOR_VERSION >= 3

    if (likely(PyUnicode_Check(n)))

#else

    if (likely(PyString_Check(n)))

#endif

        return __Pyx_PyObject_GetAttrStr(o, n);

#endif

    return PyObject_GetAttr(o, n);

}


/* GetItemInt */

static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {

    PyObject *r;

    if (!j) return NULL;

    r = PyObject_GetItem(o, j);

    Py_DECREF(j);

    return r;

}

static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,

                                                              CYTHON_NCP_UNUSED int wraparound,

                                                              CYTHON_NCP_UNUSED int boundscheck) {

#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS

    Py_ssize_t wrapped_i = i;

    if (wraparound & unlikely(i < 0)) {

        wrapped_i += PyList_GET_SIZE(o);

    }

    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyList_GET_SIZE(o)))) {

        PyObject *r = PyList_GET_ITEM(o, wrapped_i);

        Py_INCREF(r);

        return r;

    }

    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));

#else

    return PySequence_GetItem(o, i);

#endif

}

static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,

                                                              CYTHON_NCP_UNUSED int wraparound,

                                                              CYTHON_NCP_UNUSED int boundscheck) {

#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS

    Py_ssize_t wrapped_i = i;

    if (wraparound & unlikely(i < 0)) {

        wrapped_i += PyTuple_GET_SIZE(o);

    }

    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyTuple_GET_SIZE(o)))) {

        PyObject *r = PyTuple_GET_ITEM(o, wrapped_i);

        Py_INCREF(r);

        return r;

    }

    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));

#else

    return PySequence_GetItem(o, i);

#endif

}

static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int is_list,

                                                     CYTHON_NCP_UNUSED int wraparound,

                                                     CYTHON_NCP_UNUSED int boundscheck) {

#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS

    if (is_list || PyList_CheckExact(o)) {

        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);

        if ((!boundscheck) || (likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o))))) {

            PyObject *r = PyList_GET_ITEM(o, n);

            Py_INCREF(r);

            return r;

        }

    }

    else if (PyTuple_CheckExact(o)) {

        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyTuple_GET_SIZE(o);

        if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyTuple_GET_SIZE(o)))) {

            PyObject *r = PyTuple_GET_ITEM(o, n);

            Py_INCREF(r);

            return r;

        }

    } else {

        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;

        if (likely(m && m->sq_item)) {

            if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {

                Py_ssize_t l = m->sq_length(o);

                if (likely(l >= 0)) {

                    i += l;

                } else {

                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))

                        return NULL;

                    PyErr_Clear();

                }

            }

            return m->sq_item(o, i);

        }

    }

#else

    if (is_list || PySequence_Check(o)) {

        return PySequence_GetItem(o, i);

    }

#endif

    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));

}


/* ObjectGetItem */

#if CYTHON_USE_TYPE_SLOTS

static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject* index) {

    PyObject *runerr;

    Py_ssize_t key_value;

    PySequenceMethods *m = Py_TYPE(obj)->tp_as_sequence;

    if (unlikely(!(m && m->sq_item))) {

        PyErr_Format(PyExc_TypeError, "'%.200s' object is not subscriptable", Py_TYPE(obj)->tp_name);

        return NULL;

    }

    key_value = __Pyx_PyIndex_AsSsize_t(index);

    if (likely(key_value != -1 || !(runerr = PyErr_Occurred()))) {

        return __Pyx_GetItemInt_Fast(obj, key_value, 0, 1, 1);

    }

    if (PyErr_GivenExceptionMatches(runerr, PyExc_OverflowError)) {

        PyErr_Clear();

        PyErr_Format(PyExc_IndexError, "cannot fit '%.200s' into an index-sized integer", Py_TYPE(index)->tp_name);

    }

    return NULL;

}

static PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key) {

    PyMappingMethods *m = Py_TYPE(obj)->tp_as_mapping;

    if (likely(m && m->mp_subscript)) {

        return m->mp_subscript(obj, key);

    }

    return __Pyx_PyObject_GetIndex(obj, key);

}

#endif


/* decode_c_string */

static CYTHON_INLINE PyObject* __Pyx_decode_c_string(

         const char* cstring, Py_ssize_t start, Py_ssize_t stop,

         const char* encoding, const char* errors,

         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors)) {

    Py_ssize_t length;

    if (unlikely((start < 0) | (stop < 0))) {

        size_t slen = strlen(cstring);

        if (unlikely(slen > (size_t) PY_SSIZE_T_MAX)) {

            PyErr_SetString(PyExc_OverflowError,

                            "c-string too long to convert to Python");

            return NULL;

        }

        length = (Py_ssize_t) slen;

        if (start < 0) {

            start += length;

            if (start < 0)

                start = 0;

        }

        if (stop < 0)

            stop += length;

    }

    if (unlikely(stop <= start))

        return __Pyx_NewRef(__pyx_empty_unicode);

    length = stop - start;

    cstring += start;

    if (decode_func) {

        return decode_func(cstring, length, errors);

    } else {

        return PyUnicode_Decode(cstring, length, encoding, errors);

    }

}


/* GetAttr3 */

static PyObject *__Pyx_GetAttr3Default(PyObject *d) {

    __Pyx_PyThreadState_declare

    __Pyx_PyThreadState_assign

    if (unlikely(!__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))

        return NULL;

    __Pyx_PyErr_Clear();

    Py_INCREF(d);

    return d;

}

static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *o, PyObject *n, PyObject *d) {

    PyObject *r = __Pyx_GetAttr(o, n);

    return (likely(r)) ? r : __Pyx_GetAttr3Default(d);

}


/* PyDictVersioning */

#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS

static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) {

    PyObject *dict = Py_TYPE(obj)->tp_dict;

    return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;

}

static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {

    PyObject **dictptr = NULL;

    Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset;

    if (offset) {

#if CYTHON_COMPILING_IN_CPYTHON

        dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj);

#else

        dictptr = _PyObject_GetDictPtr(obj);

#endif

    }

    return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;

}

static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {

    PyObject *dict = Py_TYPE(obj)->tp_dict;

    if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))

        return 0;

    return obj_dict_version == __Pyx_get_object_dict_version(obj);

}

#endif


/* GetModuleGlobalName */

#if CYTHON_USE_DICT_VERSIONS

static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)

#else

static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)

#endif

{

    PyObject *result;

#if !CYTHON_AVOID_BORROWED_REFS

#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1

    result = _PyDict_GetItem_KnownHash(__pyx_d, name, ((PyASCIIObject *) name)->hash);

    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)

    if (likely(result)) {

        return __Pyx_NewRef(result);

    } else if (unlikely(PyErr_Occurred())) {

        return NULL;

    }

#else

    result = PyDict_GetItem(__pyx_d, name);

    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)

    if (likely(result)) {

        return __Pyx_NewRef(result);

    }

#endif

#else

    result = PyObject_GetItem(__pyx_d, name);

    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)

    if (likely(result)) {

        return __Pyx_NewRef(result);

    }

    PyErr_Clear();

#endif

    return __Pyx_GetBuiltinName(name);

}


/* RaiseTooManyValuesToUnpack */

static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {

    PyErr_Format(PyExc_ValueError,

                 "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);

}


/* RaiseNeedMoreValuesToUnpack */

static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {

    PyErr_Format(PyExc_ValueError,

                 "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",

                 index, (index == 1) ? "" : "s");

}


/* RaiseNoneIterError */

static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {

    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");

}


/* SwapException */

#if CYTHON_FAST_THREAD_STATE

static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {

    PyObject *tmp_type, *tmp_value, *tmp_tb;

    #if CYTHON_USE_EXC_INFO_STACK

    _PyErr_StackItem *exc_info = tstate->exc_info;

    tmp_type = exc_info->exc_type;

    tmp_value = exc_info->exc_value;

    tmp_tb = exc_info->exc_traceback;

    exc_info->exc_type = *type;

    exc_info->exc_value = *value;

    exc_info->exc_traceback = *tb;

    #else

    tmp_type = tstate->exc_type;

    tmp_value = tstate->exc_value;

    tmp_tb = tstate->exc_traceback;

    tstate->exc_type = *type;

    tstate->exc_value = *value;

    tstate->exc_traceback = *tb;

    #endif

    *type = tmp_type;

    *value = tmp_value;

    *tb = tmp_tb;

}

#else

static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {

    PyObject *tmp_type, *tmp_value, *tmp_tb;

    PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);

    PyErr_SetExcInfo(*type, *value, *tb);

    *type = tmp_type;

    *value = tmp_value;

    *tb = tmp_tb;

}

#endif


/* Import */

static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {

    PyObject *empty_list = 0;

    PyObject *module = 0;

    PyObject *global_dict = 0;

    PyObject *empty_dict = 0;

    PyObject *list;

    #if PY_MAJOR_VERSION < 3

    PyObject *py_import;

    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);

    if (!py_import)

        goto bad;

    #endif

    if (from_list)

        list = from_list;

    else {

        empty_list = PyList_New(0);

        if (!empty_list)

            goto bad;

        list = empty_list;

    }

    global_dict = PyModule_GetDict(__pyx_m);

    if (!global_dict)

        goto bad;

    empty_dict = PyDict_New();

    if (!empty_dict)

        goto bad;

    {

        #if PY_MAJOR_VERSION >= 3

        if (level == -1) {

            if ((1) && (strchr(__Pyx_MODULE_NAME, '.'))) {

                module = PyImport_ImportModuleLevelObject(

                    name, global_dict, empty_dict, list, 1);

                if (!module) {

                    if (!PyErr_ExceptionMatches(PyExc_ImportError))

                        goto bad;

                    PyErr_Clear();

                }

            }

            level = 0;

        }

        #endif

        if (!module) {

            #if PY_MAJOR_VERSION < 3

            PyObject *py_level = PyInt_FromLong(level);

            if (!py_level)

                goto bad;

            module = PyObject_CallFunctionObjArgs(py_import,

                name, global_dict, empty_dict, list, py_level, (PyObject *)NULL);

            Py_DECREF(py_level);

            #else

            module = PyImport_ImportModuleLevelObject(

                name, global_dict, empty_dict, list, level);

            #endif

        }

    }

bad:

    #if PY_MAJOR_VERSION < 3

    Py_XDECREF(py_import);

    #endif

    Py_XDECREF(empty_list);

    Py_XDECREF(empty_dict);

    return module;

}


/* FastTypeChecks */

#if CYTHON_COMPILING_IN_CPYTHON

static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {

    while (a) {

        a = a->tp_base;

        if (a == b)

            return 1;

    }

    return b == &PyBaseObject_Type;

}

static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {

    PyObject *mro;

    if (a == b) return 1;

    mro = a->tp_mro;

    if (likely(mro)) {

        Py_ssize_t i, n;

        n = PyTuple_GET_SIZE(mro);

        for (i = 0; i < n; i++) {

            if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)

                return 1;

        }

        return 0;

    }

    return __Pyx_InBases(a, b);

}

#if PY_MAJOR_VERSION == 2

static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {

    PyObject *exception, *value, *tb;

    int res;

    __Pyx_PyThreadState_declare

    __Pyx_PyThreadState_assign

    __Pyx_ErrFetch(&exception, &value, &tb);

    res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;

    if (unlikely(res == -1)) {

        PyErr_WriteUnraisable(err);

        res = 0;

    }

    if (!res) {

        res = PyObject_IsSubclass(err, exc_type2);

        if (unlikely(res == -1)) {

            PyErr_WriteUnraisable(err);

            res = 0;

        }

    }

    __Pyx_ErrRestore(exception, value, tb);

    return res;

}

#else

static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {

    int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0;

    if (!res) {

        res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);

    }

    return res;

}

#endif

static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {

    Py_ssize_t i, n;

    assert(PyExceptionClass_Check(exc_type));

    n = PyTuple_GET_SIZE(tuple);

#if PY_MAJOR_VERSION >= 3

    for (i=0; i<n; i++) {

        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;

    }

#endif

    for (i=0; i<n; i++) {

        PyObject *t = PyTuple_GET_ITEM(tuple, i);

        #if PY_MAJOR_VERSION < 3

        if (likely(exc_type == t)) return 1;

        #endif

        if (likely(PyExceptionClass_Check(t))) {

            if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;

        } else {

        }

    }

    return 0;

}

static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {

    if (likely(err == exc_type)) return 1;

    if (likely(PyExceptionClass_Check(err))) {

        if (likely(PyExceptionClass_Check(exc_type))) {

            return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);

        } else if (likely(PyTuple_Check(exc_type))) {

            return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);

        } else {

        }

    }

    return PyErr_GivenExceptionMatches(err, exc_type);

}

static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {

    assert(PyExceptionClass_Check(exc_type1));

    assert(PyExceptionClass_Check(exc_type2));

    if (likely(err == exc_type1 || err == exc_type2)) return 1;

    if (likely(PyExceptionClass_Check(err))) {

        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);

    }

    return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));

}

#endif


/* PyIntBinop */

#if !CYTHON_COMPILING_IN_PYPY

static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {

    (void)inplace;

    (void)zerodivision_check;

    #if PY_MAJOR_VERSION < 3

    if (likely(PyInt_CheckExact(op1))) {

        const long b = intval;

        long x;

        long a = PyInt_AS_LONG(op1);

            x = (long)((unsigned long)a + b);

            if (likely((x^a) >= 0 || (x^b) >= 0))

                return PyInt_FromLong(x);

            return PyLong_Type.tp_as_number->nb_add(op1, op2);

    }

    #endif

    #if CYTHON_USE_PYLONG_INTERNALS

    if (likely(PyLong_CheckExact(op1))) {

        const long b = intval;

        long a, x;

#ifdef HAVE_LONG_LONG

        const PY_LONG_LONG llb = intval;

        PY_LONG_LONG lla, llx;

#endif

        const digit* digits = ((PyLongObject*)op1)->ob_digit;

        const Py_ssize_t size = Py_SIZE(op1);

        if (likely(__Pyx_sst_abs(size) <= 1)) {

            a = likely(size) ? digits[0] : 0;

            if (size == -1) a = -a;

        } else {

            switch (size) {

                case -2:

                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {

                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));

                        break;

#ifdef HAVE_LONG_LONG

                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {

                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));

                        goto long_long;

#endif

                    }

                    CYTHON_FALLTHROUGH;

                case 2:

                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {

                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));

                        break;

#ifdef HAVE_LONG_LONG

                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {

                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));

                        goto long_long;

#endif

                    }

                    CYTHON_FALLTHROUGH;

                case -3:

                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {

                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));

                        break;

#ifdef HAVE_LONG_LONG

                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {

                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));

                        goto long_long;

#endif

                    }

                    CYTHON_FALLTHROUGH;

                case 3:

                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {

                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));

                        break;

#ifdef HAVE_LONG_LONG

                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {

                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));

                        goto long_long;

#endif

                    }

                    CYTHON_FALLTHROUGH;

                case -4:

                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {

                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));

                        break;

#ifdef HAVE_LONG_LONG

                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {

                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));

                        goto long_long;

#endif

                    }

                    CYTHON_FALLTHROUGH;

                case 4:

                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {

                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));

                        break;

#ifdef HAVE_LONG_LONG

                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {

                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));

                        goto long_long;

#endif

                    }

                    CYTHON_FALLTHROUGH;

                default: return PyLong_Type.tp_as_number->nb_add(op1, op2);

            }

        }

                x = a + b;

            return PyLong_FromLong(x);

#ifdef HAVE_LONG_LONG

        long_long:

                llx = lla + llb;

            return PyLong_FromLongLong(llx);

#endif


    }

    #endif

    if (PyFloat_CheckExact(op1)) {

        const long b = intval;

        double a = PyFloat_AS_DOUBLE(op1);

            double result;

            PyFPE_START_PROTECT("add", return NULL)

            result = ((double)a) + (double)b;

            PyFPE_END_PROTECT(result)

            return PyFloat_FromDouble(result);

    }

    return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);

}

#endif


/* None */

static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname) {

    PyErr_Format(PyExc_UnboundLocalError, "local variable '%s' referenced before assignment", varname);

}


/* None */

static CYTHON_INLINE long __Pyx_div_long(long a, long b) {

    long q = a / b;

    long r = a - q*b;

    q -= ((r != 0) & ((r ^ b) < 0));

    return q;

}


/* ImportFrom */

static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {

    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);

    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {

        PyErr_Format(PyExc_ImportError,

        #if PY_MAJOR_VERSION < 3

            "cannot import name %.230s", PyString_AS_STRING(name));

        #else

            "cannot import name %S", name);

        #endif

    }

    return value;

}


/* HasAttr */

static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {

    PyObject *r;

    if (unlikely(!__Pyx_PyBaseString_Check(n))) {

        PyErr_SetString(PyExc_TypeError,

                        "hasattr(): attribute name must be string");

        return -1;

    }

    r = __Pyx_GetAttr(o, n);

    if (unlikely(!r)) {

        PyErr_Clear();

        return 0;

    } else {

        Py_DECREF(r);

        return 1;

    }

}


/* PyObject_GenericGetAttrNoDict */

#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000

static PyObject *__Pyx_RaiseGenericGetAttributeError(PyTypeObject *tp, PyObject *attr_name) {

    PyErr_Format(PyExc_AttributeError,

#if PY_MAJOR_VERSION >= 3

                 "'%.50s' object has no attribute '%U'",

                 tp->tp_name, attr_name);

#else

                 "'%.50s' object has no attribute '%.400s'",

                 tp->tp_name, PyString_AS_STRING(attr_name));

#endif

    return NULL;

}

static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name) {

    PyObject *descr;

    PyTypeObject *tp = Py_TYPE(obj);

    if (unlikely(!PyString_Check(attr_name))) {

        return PyObject_GenericGetAttr(obj, attr_name);

    }

    assert(!tp->tp_dictoffset);

    descr = _PyType_Lookup(tp, attr_name);

    if (unlikely(!descr)) {

        return __Pyx_RaiseGenericGetAttributeError(tp, attr_name);

    }

    Py_INCREF(descr);

    #if PY_MAJOR_VERSION < 3

    if (likely(PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_HAVE_CLASS)))

    #endif

    {

        descrgetfunc f = Py_TYPE(descr)->tp_descr_get;

        if (unlikely(f)) {

            PyObject *res = f(descr, obj, (PyObject *)tp);

            Py_DECREF(descr);

            return res;

        }

    }

    return descr;

}

#endif


/* PyObject_GenericGetAttr */

#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000

static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name) {

    if (unlikely(Py_TYPE(obj)->tp_dictoffset)) {

        return PyObject_GenericGetAttr(obj, attr_name);

    }

    return __Pyx_PyObject_GenericGetAttrNoDict(obj, attr_name);

}

#endif


/* PyObjectGetAttrStrNoError */

static void __Pyx_PyObject_GetAttrStr_ClearAttributeError(void) {

    __Pyx_PyThreadState_declare

    __Pyx_PyThreadState_assign

    if (likely(__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))

        __Pyx_PyErr_Clear();

}

static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name) {

    PyObject *result;

#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS && PY_VERSION_HEX >= 0x030700B1

    PyTypeObject* tp = Py_TYPE(obj);

    if (likely(tp->tp_getattro == PyObject_GenericGetAttr)) {

        return _PyObject_GenericGetAttrWithDict(obj, attr_name, NULL, 1);

    }

#endif

    result = __Pyx_PyObject_GetAttrStr(obj, attr_name);

    if (unlikely(!result)) {

        __Pyx_PyObject_GetAttrStr_ClearAttributeError();

    }

    return result;

}


/* SetupReduce */

static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {

  int ret;

  PyObject *name_attr;

  name_attr = __Pyx_PyObject_GetAttrStr(meth, __pyx_n_s_name_2);

  if (likely(name_attr)) {

      ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);

  } else {

      ret = -1;

  }

  if (unlikely(ret < 0)) {

      PyErr_Clear();

      ret = 0;

  }

  Py_XDECREF(name_attr);

  return ret;

}

static int __Pyx_setup_reduce(PyObject* type_obj) {

    int ret = 0;

    PyObject *object_reduce = NULL;

    PyObject *object_reduce_ex = NULL;

    PyObject *reduce = NULL;

    PyObject *reduce_ex = NULL;

    PyObject *reduce_cython = NULL;

    PyObject *setstate = NULL;

    PyObject *setstate_cython = NULL;

#if CYTHON_USE_PYTYPE_LOOKUP

    if (_PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate)) goto __PYX_GOOD;

#else

    if (PyObject_HasAttr(type_obj, __pyx_n_s_getstate)) goto __PYX_GOOD;

#endif

#if CYTHON_USE_PYTYPE_LOOKUP

    object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;

#else

    object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;

#endif

    reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex); if (unlikely(!reduce_ex)) goto __PYX_BAD;

    if (reduce_ex == object_reduce_ex) {

#if CYTHON_USE_PYTYPE_LOOKUP

        object_reduce = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;

#else

        object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;

#endif

        reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce); if (unlikely(!reduce)) goto __PYX_BAD;

        if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {

            reduce_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_reduce_cython);

            if (likely(reduce_cython)) {

                ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;

                ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;

            } else if (reduce == object_reduce || PyErr_Occurred()) {

                goto __PYX_BAD;

            }

            setstate = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate);

            if (!setstate) PyErr_Clear();

            if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_n_s_setstate_cython)) {

                setstate_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_setstate_cython);

                if (likely(setstate_cython)) {

                    ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;

                    ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;

                } else if (!setstate || PyErr_Occurred()) {

                    goto __PYX_BAD;

                }

            }

            PyType_Modified((PyTypeObject*)type_obj);

        }

    }

    goto __PYX_GOOD;

__PYX_BAD:

    if (!PyErr_Occurred())

        PyErr_Format(PyExc_RuntimeError, "Unable to initialize pickling for %s", ((PyTypeObject*)type_obj)->tp_name);

    ret = -1;

__PYX_GOOD:

#if !CYTHON_USE_PYTYPE_LOOKUP

    Py_XDECREF(object_reduce);

    Py_XDECREF(object_reduce_ex);

#endif

    Py_XDECREF(reduce);

    Py_XDECREF(reduce_ex);

    Py_XDECREF(reduce_cython);

    Py_XDECREF(setstate);

    Py_XDECREF(setstate_cython);

    return ret;

}


/* SetVTable */

static int __Pyx_SetVtable(PyObject *dict, void *vtable) {

#if PY_VERSION_HEX >= 0x02070000

    PyObject *ob = PyCapsule_New(vtable, 0, 0);

#else

    PyObject *ob = PyCObject_FromVoidPtr(vtable, 0);

#endif

    if (!ob)

        goto bad;

    if (PyDict_SetItem(dict, __pyx_n_s_pyx_vtable, ob) < 0)

        goto bad;

    Py_DECREF(ob);

    return 0;

bad:

    Py_XDECREF(ob);

    return -1;

}


/* TypeImport */

#ifndef __PYX_HAVE_RT_ImportType

#define __PYX_HAVE_RT_ImportType

static PyTypeObject *__Pyx_ImportType(PyObject *module, const char *module_name, const char *class_name,

    size_t size, enum __Pyx_ImportType_CheckSize check_size)

{

    PyObject *result = 0;

    char warning[200];

    Py_ssize_t basicsize;

#ifdef Py_LIMITED_API

    PyObject *py_basicsize;

#endif

    result = PyObject_GetAttrString(module, class_name);

    if (!result)

        goto bad;

    if (!PyType_Check(result)) {

        PyErr_Format(PyExc_TypeError,

            "%.200s.%.200s is not a type object",

            module_name, class_name);

        goto bad;

    }

#ifndef Py_LIMITED_API

    basicsize = ((PyTypeObject *)result)->tp_basicsize;

#else

    py_basicsize = PyObject_GetAttrString(result, "__basicsize__");

    if (!py_basicsize)

        goto bad;

    basicsize = PyLong_AsSsize_t(py_basicsize);

    Py_DECREF(py_basicsize);

    py_basicsize = 0;

    if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())

        goto bad;

#endif

    if ((size_t)basicsize < size) {

        PyErr_Format(PyExc_ValueError,

            "%.200s.%.200s size changed, may indicate binary incompatibility. "

            "Expected %zd from C header, got %zd from PyObject",

            module_name, class_name, size, basicsize);

        goto bad;

    }

    if (check_size == __Pyx_ImportType_CheckSize_Error && (size_t)basicsize != size) {

        PyErr_Format(PyExc_ValueError,

            "%.200s.%.200s size changed, may indicate binary incompatibility. "

            "Expected %zd from C header, got %zd from PyObject",

            module_name, class_name, size, basicsize);

        goto bad;

    }

    else if (check_size == __Pyx_ImportType_CheckSize_Warn && (size_t)basicsize > size) {

        PyOS_snprintf(warning, sizeof(warning),

            "%s.%s size changed, may indicate binary incompatibility. "

            "Expected %zd from C header, got %zd from PyObject",

            module_name, class_name, size, basicsize);

        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;

    }

    return (PyTypeObject *)result;

bad:

    Py_XDECREF(result);

    return NULL;

}

#endif


/* CalculateMetaclass */

static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases) {

    Py_ssize_t i, nbases = PyTuple_GET_SIZE(bases);

    for (i=0; i < nbases; i++) {

        PyTypeObject *tmptype;

        PyObject *tmp = PyTuple_GET_ITEM(bases, i);

        tmptype = Py_TYPE(tmp);

#if PY_MAJOR_VERSION < 3

        if (tmptype == &PyClass_Type)

            continue;

#endif

        if (!metaclass) {

            metaclass = tmptype;

            continue;

        }

        if (PyType_IsSubtype(metaclass, tmptype))

            continue;

        if (PyType_IsSubtype(tmptype, metaclass)) {

            metaclass = tmptype;

            continue;

        }

        PyErr_SetString(PyExc_TypeError,

                        "metaclass conflict: "

                        "the metaclass of a derived class "

                        "must be a (non-strict) subclass "

                        "of the metaclasses of all its bases");

        return NULL;

    }

    if (!metaclass) {

#if PY_MAJOR_VERSION < 3

        metaclass = &PyClass_Type;

#else

        metaclass = &PyType_Type;

#endif

    }

    Py_INCREF((PyObject*) metaclass);

    return (PyObject*) metaclass;

}


/* FetchCommonType */

static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {

    PyObject* fake_module;

    PyTypeObject* cached_type = NULL;

    fake_module = PyImport_AddModule((char*) "_cython_" CYTHON_ABI);

    if (!fake_module) return NULL;

    Py_INCREF(fake_module);

    cached_type = (PyTypeObject*) PyObject_GetAttrString(fake_module, type->tp_name);

    if (cached_type) {

        if (!PyType_Check((PyObject*)cached_type)) {

            PyErr_Format(PyExc_TypeError,

                "Shared Cython type %.200s is not a type object",

                type->tp_name);

            goto bad;

        }

        if (cached_type->tp_basicsize != type->tp_basicsize) {

            PyErr_Format(PyExc_TypeError,

                "Shared Cython type %.200s has the wrong size, try recompiling",

                type->tp_name);

            goto bad;

        }

    } else {

        if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;

        PyErr_Clear();

        if (PyType_Ready(type) < 0) goto bad;

        if (PyObject_SetAttrString(fake_module, type->tp_name, (PyObject*) type) < 0)

            goto bad;

        Py_INCREF(type);

        cached_type = type;

    }

done:

    Py_DECREF(fake_module);

    return cached_type;

bad:

    Py_XDECREF(cached_type);

    cached_type = NULL;

    goto done;

}


/* CythonFunctionShared */

#include <structmember.h>

static PyObject *

__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *closure)

{

    if (unlikely(op->func_doc == NULL)) {

        if (op->func.m_ml->ml_doc) {

#if PY_MAJOR_VERSION >= 3

            op->func_doc = PyUnicode_FromString(op->func.m_ml->ml_doc);

#else

            op->func_doc = PyString_FromString(op->func.m_ml->ml_doc);

#endif

            if (unlikely(op->func_doc == NULL))

                return NULL;

        } else {

            Py_INCREF(Py_None);

            return Py_None;

        }

    }

    Py_INCREF(op->func_doc);

    return op->func_doc;

}

static int

__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)

{

    PyObject *tmp = op->func_doc;

    if (value == NULL) {

        value = Py_None;

    }

    Py_INCREF(value);

    op->func_doc = value;

    Py_XDECREF(tmp);

    return 0;

}

static PyObject *

__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)

{

    if (unlikely(op->func_name == NULL)) {

#if PY_MAJOR_VERSION >= 3

        op->func_name = PyUnicode_InternFromString(op->func.m_ml->ml_name);

#else

        op->func_name = PyString_InternFromString(op->func.m_ml->ml_name);

#endif

        if (unlikely(op->func_name == NULL))

            return NULL;

    }

    Py_INCREF(op->func_name);

    return op->func_name;

}

static int

__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)

{

    PyObject *tmp;

#if PY_MAJOR_VERSION >= 3

    if (unlikely(value == NULL || !PyUnicode_Check(value)))

#else

    if (unlikely(value == NULL || !PyString_Check(value)))

#endif

    {

        PyErr_SetString(PyExc_TypeError,

                        "__name__ must be set to a string object");

        return -1;

    }

    tmp = op->func_name;

    Py_INCREF(value);

    op->func_name = value;

    Py_XDECREF(tmp);

    return 0;

}

static PyObject *

__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)

{

    Py_INCREF(op->func_qualname);

    return op->func_qualname;

}

static int

__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)

{

    PyObject *tmp;

#if PY_MAJOR_VERSION >= 3

    if (unlikely(value == NULL || !PyUnicode_Check(value)))

#else

    if (unlikely(value == NULL || !PyString_Check(value)))

#endif

    {

        PyErr_SetString(PyExc_TypeError,

                        "__qualname__ must be set to a string object");

        return -1;

    }

    tmp = op->func_qualname;

    Py_INCREF(value);

    op->func_qualname = value;

    Py_XDECREF(tmp);

    return 0;

}

static PyObject *

__Pyx_CyFunction_get_self(__pyx_CyFunctionObject *m, CYTHON_UNUSED void *closure)

{

    PyObject *self;

    self = m->func_closure;

    if (self == NULL)

        self = Py_None;

    Py_INCREF(self);

    return self;

}

static PyObject *

__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)

{

    if (unlikely(op->func_dict == NULL)) {

        op->func_dict = PyDict_New();

        if (unlikely(op->func_dict == NULL))

            return NULL;

    }

    Py_INCREF(op->func_dict);

    return op->func_dict;

}

static int

__Pyx_CyFunction_set_dict(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)

{

    PyObject *tmp;

    if (unlikely(value == NULL)) {

        PyErr_SetString(PyExc_TypeError,

               "function's dictionary may not be deleted");

        return -1;

    }

    if (unlikely(!PyDict_Check(value))) {

        PyErr_SetString(PyExc_TypeError,

               "setting function's dictionary to a non-dict");

        return -1;

    }

    tmp = op->func_dict;

    Py_INCREF(value);

    op->func_dict = value;

    Py_XDECREF(tmp);

    return 0;

}

static PyObject *

__Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)

{

    Py_INCREF(op->func_globals);

    return op->func_globals;

}

static PyObject *

__Pyx_CyFunction_get_closure(CYTHON_UNUSED __pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)

{

    Py_INCREF(Py_None);

    return Py_None;

}

static PyObject *

__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)

{

    PyObject* result = (op->func_code) ? op->func_code : Py_None;

    Py_INCREF(result);

    return result;

}

static int

__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) {

    int result = 0;

    PyObject *res = op->defaults_getter((PyObject *) op);

    if (unlikely(!res))

        return -1;

    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS

    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);

    Py_INCREF(op->defaults_tuple);

    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);

    Py_INCREF(op->defaults_kwdict);

    #else

    op->defaults_tuple = PySequence_ITEM(res, 0);

    if (unlikely(!op->defaults_tuple)) result = -1;

    else {

        op->defaults_kwdict = PySequence_ITEM(res, 1);

        if (unlikely(!op->defaults_kwdict)) result = -1;

    }

    #endif

    Py_DECREF(res);

    return result;

}

static int

__Pyx_CyFunction_set_defaults(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {

    PyObject* tmp;

    if (!value) {

        value = Py_None;

    } else if (value != Py_None && !PyTuple_Check(value)) {

        PyErr_SetString(PyExc_TypeError,

                        "__defaults__ must be set to a tuple object");

        return -1;

    }

    Py_INCREF(value);

    tmp = op->defaults_tuple;

    op->defaults_tuple = value;

    Py_XDECREF(tmp);

    return 0;

}

static PyObject *

__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {

    PyObject* result = op->defaults_tuple;

    if (unlikely(!result)) {

        if (op->defaults_getter) {

            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;

            result = op->defaults_tuple;

        } else {

            result = Py_None;

        }

    }

    Py_INCREF(result);

    return result;

}

static int

__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {

    PyObject* tmp;

    if (!value) {

        value = Py_None;

    } else if (value != Py_None && !PyDict_Check(value)) {

        PyErr_SetString(PyExc_TypeError,

                        "__kwdefaults__ must be set to a dict object");

        return -1;

    }

    Py_INCREF(value);

    tmp = op->defaults_kwdict;

    op->defaults_kwdict = value;

    Py_XDECREF(tmp);

    return 0;

}

static PyObject *

__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {

    PyObject* result = op->defaults_kwdict;

    if (unlikely(!result)) {

        if (op->defaults_getter) {

            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;

            result = op->defaults_kwdict;

        } else {

            result = Py_None;

        }

    }

    Py_INCREF(result);

    return result;

}

static int

__Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {

    PyObject* tmp;

    if (!value || value == Py_None) {

        value = NULL;

    } else if (!PyDict_Check(value)) {

        PyErr_SetString(PyExc_TypeError,

                        "__annotations__ must be set to a dict object");

        return -1;

    }

    Py_XINCREF(value);

    tmp = op->func_annotations;

    op->func_annotations = value;

    Py_XDECREF(tmp);

    return 0;

}

static PyObject *

__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {

    PyObject* result = op->func_annotations;

    if (unlikely(!result)) {

        result = PyDict_New();

        if (unlikely(!result)) return NULL;

        op->func_annotations = result;

    }

    Py_INCREF(result);

    return result;

}

static PyGetSetDef __pyx_CyFunction_getsets[] = {

    {(char *) "func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},

    {(char *) "__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},

    {(char *) "func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},

    {(char *) "__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},

    {(char *) "__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},

    {(char *) "__self__", (getter)__Pyx_CyFunction_get_self, 0, 0, 0},

    {(char *) "func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},

    {(char *) "__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},

    {(char *) "func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},

    {(char *) "__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},

    {(char *) "func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},

    {(char *) "__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},

    {(char *) "func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},

    {(char *) "__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},

    {(char *) "func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},

    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},

    {(char *) "__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},

    {(char *) "__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},

    {0, 0, 0, 0, 0}

};

static PyMemberDef __pyx_CyFunction_members[] = {

    {(char *) "__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), PY_WRITE_RESTRICTED, 0},

    {0, 0, 0,  0, 0}

};

static PyObject *

__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, CYTHON_UNUSED PyObject *args)

{

#if PY_MAJOR_VERSION >= 3

    Py_INCREF(m->func_qualname);

    return m->func_qualname;

#else

    return PyString_FromString(m->func.m_ml->ml_name);

#endif

}

static PyMethodDef __pyx_CyFunction_methods[] = {

    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},

    {0, 0, 0, 0}

};

#if PY_VERSION_HEX < 0x030500A0

#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)

#else

#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func.m_weakreflist)

#endif

static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject *op, PyMethodDef *ml, int flags, PyObject* qualname,

                                       PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {

    if (unlikely(op == NULL))

        return NULL;

    op->flags = flags;

    __Pyx_CyFunction_weakreflist(op) = NULL;

    op->func.m_ml = ml;

    op->func.m_self = (PyObject *) op;

    Py_XINCREF(closure);

    op->func_closure = closure;

    Py_XINCREF(module);

    op->func.m_module = module;

    op->func_dict = NULL;

    op->func_name = NULL;

    Py_INCREF(qualname);

    op->func_qualname = qualname;

    op->func_doc = NULL;

    op->func_classobj = NULL;

    op->func_globals = globals;

    Py_INCREF(op->func_globals);

    Py_XINCREF(code);

    op->func_code = code;

    op->defaults_pyobjects = 0;

    op->defaults_size = 0;

    op->defaults = NULL;

    op->defaults_tuple = NULL;

    op->defaults_kwdict = NULL;

    op->defaults_getter = NULL;

    op->func_annotations = NULL;

    return (PyObject *) op;

}

static int

__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)

{

    Py_CLEAR(m->func_closure);

    Py_CLEAR(m->func.m_module);

    Py_CLEAR(m->func_dict);

    Py_CLEAR(m->func_name);

    Py_CLEAR(m->func_qualname);

    Py_CLEAR(m->func_doc);

    Py_CLEAR(m->func_globals);

    Py_CLEAR(m->func_code);

    Py_CLEAR(m->func_classobj);

    Py_CLEAR(m->defaults_tuple);

    Py_CLEAR(m->defaults_kwdict);

    Py_CLEAR(m->func_annotations);

    if (m->defaults) {

        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);

        int i;

        for (i = 0; i < m->defaults_pyobjects; i++)

            Py_XDECREF(pydefaults[i]);

        PyObject_Free(m->defaults);

        m->defaults = NULL;

    }

    return 0;

}

static void __Pyx__CyFunction_dealloc(__pyx_CyFunctionObject *m)

{

    if (__Pyx_CyFunction_weakreflist(m) != NULL)

        PyObject_ClearWeakRefs((PyObject *) m);

    __Pyx_CyFunction_clear(m);

    PyObject_GC_Del(m);

}

static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)

{

    PyObject_GC_UnTrack(m);

    __Pyx__CyFunction_dealloc(m);

}

static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)

{

    Py_VISIT(m->func_closure);

    Py_VISIT(m->func.m_module);

    Py_VISIT(m->func_dict);

    Py_VISIT(m->func_name);

    Py_VISIT(m->func_qualname);

    Py_VISIT(m->func_doc);

    Py_VISIT(m->func_globals);

    Py_VISIT(m->func_code);

    Py_VISIT(m->func_classobj);

    Py_VISIT(m->defaults_tuple);

    Py_VISIT(m->defaults_kwdict);

    if (m->defaults) {

        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);

        int i;

        for (i = 0; i < m->defaults_pyobjects; i++)

            Py_VISIT(pydefaults[i]);

    }

    return 0;

}

static PyObject *__Pyx_CyFunction_descr_get(PyObject *func, PyObject *obj, PyObject *type)

{

#if PY_MAJOR_VERSION < 3

    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;

    if (m->flags & __Pyx_CYFUNCTION_STATICMETHOD) {

        Py_INCREF(func);

        return func;

    }

    if (m->flags & __Pyx_CYFUNCTION_CLASSMETHOD) {

        if (type == NULL)

            type = (PyObject *)(Py_TYPE(obj));

        return __Pyx_PyMethod_New(func, type, (PyObject *)(Py_TYPE(type)));

    }

    if (obj == Py_None)

        obj = NULL;

#endif

    return __Pyx_PyMethod_New(func, obj, type);

}

static PyObject*

__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)

{

#if PY_MAJOR_VERSION >= 3

    return PyUnicode_FromFormat("<cyfunction %U at %p>",

                                op->func_qualname, (void *)op);

#else

    return PyString_FromFormat("<cyfunction %s at %p>",

                               PyString_AsString(op->func_qualname), (void *)op);

#endif

}

static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {

    PyCFunctionObject* f = (PyCFunctionObject*)func;

    PyCFunction meth = f->m_ml->ml_meth;

    Py_ssize_t size;

    switch (f->m_ml->ml_flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) {

    case METH_VARARGS:

        if (likely(kw == NULL || PyDict_Size(kw) == 0))

            return (*meth)(self, arg);

        break;

    case METH_VARARGS | METH_KEYWORDS:

        return (*(PyCFunctionWithKeywords)(void*)meth)(self, arg, kw);

    case METH_NOARGS:

        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {

            size = PyTuple_GET_SIZE(arg);

            if (likely(size == 0))

                return (*meth)(self, NULL);

            PyErr_Format(PyExc_TypeError,

                "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",

                f->m_ml->ml_name, size);

            return NULL;

        }

        break;

    case METH_O:

        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {

            size = PyTuple_GET_SIZE(arg);

            if (likely(size == 1)) {

                PyObject *result, *arg0;

                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS

                arg0 = PyTuple_GET_ITEM(arg, 0);

                #else

                arg0 = PySequence_ITEM(arg, 0); if (unlikely(!arg0)) return NULL;

                #endif

                result = (*meth)(self, arg0);

                #if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)

                Py_DECREF(arg0);

                #endif

                return result;

            }

            PyErr_Format(PyExc_TypeError,

                "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",

                f->m_ml->ml_name, size);

            return NULL;

        }

        break;

    default:

        PyErr_SetString(PyExc_SystemError, "Bad call flags in "

                        "__Pyx_CyFunction_Call. METH_OLDARGS is no "

                        "longer supported!");

        return NULL;

    }

    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",

                 f->m_ml->ml_name);

    return NULL;

}

static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {

    return __Pyx_CyFunction_CallMethod(func, ((PyCFunctionObject*)func)->m_self, arg, kw);

}

static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {

    PyObject *result;

    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;

    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {

        Py_ssize_t argc;

        PyObject *new_args;

        PyObject *self;

        argc = PyTuple_GET_SIZE(args);

        new_args = PyTuple_GetSlice(args, 1, argc);

        if (unlikely(!new_args))

            return NULL;

        self = PyTuple_GetItem(args, 0);

        if (unlikely(!self)) {

            Py_DECREF(new_args);

            return NULL;

        }

        result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw);

        Py_DECREF(new_args);

    } else {

        result = __Pyx_CyFunction_Call(func, args, kw);

    }

    return result;

}

static PyTypeObject __pyx_CyFunctionType_type = {

    PyVarObject_HEAD_INIT(0, 0)

    "cython_function_or_method",

    sizeof(__pyx_CyFunctionObject),

    0,

    (destructor) __Pyx_CyFunction_dealloc,

    0,

    0,

    0,

#if PY_MAJOR_VERSION < 3

    0,

#else

    0,

#endif

    (reprfunc) __Pyx_CyFunction_repr,

    0,

    0,

    0,

    0,

    __Pyx_CyFunction_CallAsMethod,

    0,

    0,

    0,

    0,

    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,

    0,

    (traverseproc) __Pyx_CyFunction_traverse,

    (inquiry) __Pyx_CyFunction_clear,

    0,

#if PY_VERSION_HEX < 0x030500A0

    offsetof(__pyx_CyFunctionObject, func_weakreflist),

#else

    offsetof(PyCFunctionObject, m_weakreflist),

#endif

    0,

    0,

    __pyx_CyFunction_methods,

    __pyx_CyFunction_members,

    __pyx_CyFunction_getsets,

    0,

    0,

    __Pyx_CyFunction_descr_get,

    0,

    offsetof(__pyx_CyFunctionObject, func_dict),

    0,

    0,

    0,

    0,

    0,

    0,

    0,

    0,

    0,

    0,

    0,

    0,

#if PY_VERSION_HEX >= 0x030400a1

    0,

#endif

#if PY_VERSION_HEX >= 0x030800b1

    0,

#endif

#if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000

    0,

#endif

};

static int __pyx_CyFunction_init(void) {

    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);

    if (unlikely(__pyx_CyFunctionType == NULL)) {

        return -1;

    }

    return 0;

}

static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *func, size_t size, int pyobjects) {

    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;

    m->defaults = PyObject_Malloc(size);

    if (unlikely(!m->defaults))

        return PyErr_NoMemory();

    memset(m->defaults, 0, size);

    m->defaults_pyobjects = pyobjects;

    m->defaults_size = size;

    return m->defaults;

}

static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {

    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;

    m->defaults_tuple = tuple;

    Py_INCREF(tuple);

}

static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {

    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;

    m->defaults_kwdict = dict;

    Py_INCREF(dict);

}

static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {

    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;

    m->func_annotations = dict;

    Py_INCREF(dict);

}


/* CythonFunction */

static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml, int flags, PyObject* qualname,

                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {

    PyObject *op = __Pyx_CyFunction_Init(

        PyObject_GC_New(__pyx_CyFunctionObject, __pyx_CyFunctionType),

        ml, flags, qualname, closure, module, globals, code

    );

    if (likely(op)) {

        PyObject_GC_Track(op);

    }

    return op;

}


/* Py3ClassCreate */

static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name,

                                           PyObject *qualname, PyObject *mkw, PyObject *modname, PyObject *doc) {

    PyObject *ns;

    if (metaclass) {

        PyObject *prep = __Pyx_PyObject_GetAttrStr(metaclass, __pyx_n_s_prepare);

        if (prep) {

            PyObject *pargs = PyTuple_Pack(2, name, bases);

            if (unlikely(!pargs)) {

                Py_DECREF(prep);

                return NULL;

            }

            ns = PyObject_Call(prep, pargs, mkw);

            Py_DECREF(prep);

            Py_DECREF(pargs);

        } else {

            if (unlikely(!PyErr_ExceptionMatches(PyExc_AttributeError)))

                return NULL;

            PyErr_Clear();

            ns = PyDict_New();

        }

    } else {

        ns = PyDict_New();

    }

    if (unlikely(!ns))

        return NULL;

    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_module, modname) < 0)) goto bad;

    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_qualname, qualname) < 0)) goto bad;

    if (unlikely(doc && PyObject_SetItem(ns, __pyx_n_s_doc, doc) < 0)) goto bad;

    return ns;

bad:

    Py_DECREF(ns);

    return NULL;

}

static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases,

                                      PyObject *dict, PyObject *mkw,

                                      int calculate_metaclass, int allow_py2_metaclass) {

    PyObject *result, *margs;

    PyObject *owned_metaclass = NULL;

    if (allow_py2_metaclass) {

        owned_metaclass = PyObject_GetItem(dict, __pyx_n_s_metaclass);

        if (owned_metaclass) {

            metaclass = owned_metaclass;

        } else if (likely(PyErr_ExceptionMatches(PyExc_KeyError))) {

            PyErr_Clear();

        } else {

            return NULL;

        }

    }

    if (calculate_metaclass && (!metaclass || PyType_Check(metaclass))) {

        metaclass = __Pyx_CalculateMetaclass((PyTypeObject*) metaclass, bases);

        Py_XDECREF(owned_metaclass);

        if (unlikely(!metaclass))

            return NULL;

        owned_metaclass = metaclass;

    }

    margs = PyTuple_Pack(3, name, bases, dict);

    if (unlikely(!margs)) {

        result = NULL;

    } else {

        result = PyObject_Call(metaclass, margs, mkw);

        Py_DECREF(margs);

    }

    Py_XDECREF(owned_metaclass);

    return result;

}


/* CLineInTraceback */

#ifndef CYTHON_CLINE_IN_TRACEBACK

static int __Pyx_CLineForTraceback(CYTHON_NCP_UNUSED PyThreadState *tstate, int c_line) {

    PyObject *use_cline;

    PyObject *ptype, *pvalue, *ptraceback;

#if CYTHON_COMPILING_IN_CPYTHON

    PyObject **cython_runtime_dict;

#endif

    if (unlikely(!__pyx_cython_runtime)) {

        return c_line;

    }

    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);

#if CYTHON_COMPILING_IN_CPYTHON

    cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);

    if (likely(cython_runtime_dict)) {

        __PYX_PY_DICT_LOOKUP_IF_MODIFIED(

            use_cline, *cython_runtime_dict,

            __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback))

    } else

#endif

    {

      PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);

      if (use_cline_obj) {

        use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;

        Py_DECREF(use_cline_obj);

      } else {

        PyErr_Clear();

        use_cline = NULL;

      }

    }

    if (!use_cline) {

        c_line = 0;

        PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);

    }

    else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {

        c_line = 0;

    }

    __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);

    return c_line;

}

#endif


/* CodeObjectCache */

static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {

    int start = 0, mid = 0, end = count - 1;

    if (end >= 0 && code_line > entries[end].code_line) {

        return count;

    }

    while (start < end) {

        mid = start + (end - start) / 2;

        if (code_line < entries[mid].code_line) {

            end = mid;

        } else if (code_line > entries[mid].code_line) {

             start = mid + 1;

        } else {

            return mid;

        }

    }

    if (code_line <= entries[mid].code_line) {

        return mid;

    } else {

        return mid + 1;

    }

}

static PyCodeObject *__pyx_find_code_object(int code_line) {

    PyCodeObject* code_object;

    int pos;

    if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {

        return NULL;

    }

    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);

    if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {

        return NULL;

    }

    code_object = __pyx_code_cache.entries[pos].code_object;

    Py_INCREF(code_object);

    return code_object;

}

static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {

    int pos, i;

    __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;

    if (unlikely(!code_line)) {

        return;

    }

    if (unlikely(!entries)) {

        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));

        if (likely(entries)) {

            __pyx_code_cache.entries = entries;

            __pyx_code_cache.max_count = 64;

            __pyx_code_cache.count = 1;

            entries[0].code_line = code_line;

            entries[0].code_object = code_object;

            Py_INCREF(code_object);

        }

        return;

    }

    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);

    if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {

        PyCodeObject* tmp = entries[pos].code_object;

        entries[pos].code_object = code_object;

        Py_DECREF(tmp);

        return;

    }

    if (__pyx_code_cache.count == __pyx_code_cache.max_count) {

        int new_max = __pyx_code_cache.max_count + 64;

        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(

            __pyx_code_cache.entries, ((size_t)new_max) * sizeof(__Pyx_CodeObjectCacheEntry));

        if (unlikely(!entries)) {

            return;

        }

        __pyx_code_cache.entries = entries;

        __pyx_code_cache.max_count = new_max;

    }

    for (i=__pyx_code_cache.count; i>pos; i--) {

        entries[i] = entries[i-1];

    }

    entries[pos].code_line = code_line;

    entries[pos].code_object = code_object;

    __pyx_code_cache.count++;

    Py_INCREF(code_object);

}


/* AddTraceback */

#include "compile.h"

#include "frameobject.h"

#include "traceback.h"

static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(

            const char *funcname, int c_line,

            int py_line, const char *filename) {

    PyCodeObject *py_code = 0;

    PyObject *py_srcfile = 0;

    PyObject *py_funcname = 0;

    #if PY_MAJOR_VERSION < 3

    py_srcfile = PyString_FromString(filename);

    #else

    py_srcfile = PyUnicode_FromString(filename);

    #endif

    if (!py_srcfile) goto bad;

    if (c_line) {

        #if PY_MAJOR_VERSION < 3

        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);

        #else

        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);

        #endif

    }

    else {

        #if PY_MAJOR_VERSION < 3

        py_funcname = PyString_FromString(funcname);

        #else

        py_funcname = PyUnicode_FromString(funcname);

        #endif

    }

    if (!py_funcname) goto bad;

    py_code = __Pyx_PyCode_New(

        0,

        0,

        0,

        0,

        0,

        __pyx_empty_bytes, /*PyObject *code,*/

        __pyx_empty_tuple, /*PyObject *consts,*/

        __pyx_empty_tuple, /*PyObject *names,*/

        __pyx_empty_tuple, /*PyObject *varnames,*/

        __pyx_empty_tuple, /*PyObject *freevars,*/

        __pyx_empty_tuple, /*PyObject *cellvars,*/

        py_srcfile,   /*PyObject *filename,*/

        py_funcname,  /*PyObject *name,*/

        py_line,

        __pyx_empty_bytes  /*PyObject *lnotab*/

    );

    Py_DECREF(py_srcfile);

    Py_DECREF(py_funcname);

    return py_code;

bad:

    Py_XDECREF(py_srcfile);

    Py_XDECREF(py_funcname);

    return NULL;

}

static void __Pyx_AddTraceback(const char *funcname, int c_line,

                               int py_line, const char *filename) {

    PyCodeObject *py_code = 0;

    PyFrameObject *py_frame = 0;

    PyThreadState *tstate = __Pyx_PyThreadState_Current;

    if (c_line) {

        c_line = __Pyx_CLineForTraceback(tstate, c_line);

    }

    py_code = __pyx_find_code_object(c_line ? -c_line : py_line);

    if (!py_code) {

        py_code = __Pyx_CreateCodeObjectForTraceback(

            funcname, c_line, py_line, filename);

        if (!py_code) goto bad;

        __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);

    }

    py_frame = PyFrame_New(

        tstate,            /*PyThreadState *tstate,*/

        py_code,           /*PyCodeObject *code,*/

        __pyx_d,    /*PyObject *globals,*/

        0                  /*PyObject *locals*/

    );

    if (!py_frame) goto bad;

    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);

    PyTraceBack_Here(py_frame);

bad:

    Py_XDECREF(py_code);

    Py_XDECREF(py_frame);

}


#if PY_MAJOR_VERSION < 3

static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {

    if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);

        if (__Pyx_TypeCheck(obj, __pyx_array_type)) return __pyx_array_getbuffer(obj, view, flags);

        if (__Pyx_TypeCheck(obj, __pyx_memoryview_type)) return __pyx_memoryview_getbuffer(obj, view, flags);

    PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name);

    return -1;

}

static void __Pyx_ReleaseBuffer(Py_buffer *view) {

    PyObject *obj = view->obj;

    if (!obj) return;

    if (PyObject_CheckBuffer(obj)) {

        PyBuffer_Release(view);

        return;

    }

    if ((0)) {}

    view->obj = NULL;

    Py_DECREF(obj);

}

#endif


/* MemviewSliceIsContig */

static int

__pyx_memviewslice_is_contig(const __Pyx_memviewslice mvs, char order, int ndim)

{

    int i, index, step, start;

    Py_ssize_t itemsize = mvs.memview->view.itemsize;

    if (order == 'F') {

        step = 1;

        start = 0;

    } else {

        step = -1;

        start = ndim - 1;

    }

    for (i = 0; i < ndim; i++) {

        index = start + step * i;

        if (mvs.suboffsets[index] >= 0 || mvs.strides[index] != itemsize)

            return 0;

        itemsize *= mvs.shape[index];

    }

    return 1;

}


/* OverlappingSlices */

static void

__pyx_get_array_memory_extents(__Pyx_memviewslice *slice,

                               void **out_start, void **out_end,

                               int ndim, size_t itemsize)

{

    char *start, *end;

    int i;

    start = end = slice->data;

    for (i = 0; i < ndim; i++) {

        Py_ssize_t stride = slice->strides[i];

        Py_ssize_t extent = slice->shape[i];

        if (extent == 0) {

            *out_start = *out_end = start;

            return;

        } else {

            if (stride > 0)

                end += stride * (extent - 1);

            else

                start += stride * (extent - 1);

        }

    }

    *out_start = start;

    *out_end = end + itemsize;

}

static int

__pyx_slices_overlap(__Pyx_memviewslice *slice1,

                     __Pyx_memviewslice *slice2,

                     int ndim, size_t itemsize)

{

    void *start1, *end1, *start2, *end2;

    __pyx_get_array_memory_extents(slice1, &start1, &end1, ndim, itemsize);

    __pyx_get_array_memory_extents(slice2, &start2, &end2, ndim, itemsize);

    return (start1 < end2) && (start2 < end1);

}


/* Capsule */

static CYTHON_INLINE PyObject *

__pyx_capsule_create(void *p, CYTHON_UNUSED const char *sig)

{

    PyObject *cobj;

#if PY_VERSION_HEX >= 0x02070000

    cobj = PyCapsule_New(p, sig, NULL);

#else

    cobj = PyCObject_FromVoidPtr(p, NULL);

#endif

    return cobj;

}


/* CIntFromPyVerify */

#define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\

    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)

#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\

    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)

#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\

    {\

        func_type value = func_value;\

        if (sizeof(target_type) < sizeof(func_type)) {\

            if (unlikely(value != (func_type) (target_type) value)) {\

                func_type zero = 0;\

                if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\

                    return (target_type) -1;\

                if (is_unsigned && unlikely(value < zero))\

                    goto raise_neg_overflow;\

                else\

                    goto raise_overflow;\

            }\

        }\

        return (target_type) value;\

    }


/* IsLittleEndian */

static CYTHON_INLINE int __Pyx_Is_Little_Endian(void)

{

  union {

    uint32_t u32;

    uint8_t u8[4];

  } S;

  S.u32 = 0x01020304;

  return S.u8[0] == 4;

}


/* BufferFormatCheck */

static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,

                              __Pyx_BufFmt_StackElem* stack,

                              __Pyx_TypeInfo* type) {

  stack[0].field = &ctx->root;

  stack[0].parent_offset = 0;

  ctx->root.type = type;

  ctx->root.name = "buffer dtype";

  ctx->root.offset = 0;

  ctx->head = stack;

  ctx->head->field = &ctx->root;

  ctx->fmt_offset = 0;

  ctx->head->parent_offset = 0;

  ctx->new_packmode = '@';

  ctx->enc_packmode = '@';

  ctx->new_count = 1;

  ctx->enc_count = 0;

  ctx->enc_type = 0;

  ctx->is_complex = 0;

  ctx->is_valid_array = 0;

  ctx->struct_alignment = 0;

  while (type->typegroup == 'S') {

    ++ctx->head;

    ctx->head->field = type->fields;

    ctx->head->parent_offset = 0;

    type = type->fields->type;

  }

}

static int __Pyx_BufFmt_ParseNumber(const char** ts) {

    int count;

    const char* t = *ts;

    if (*t < '0' || *t > '9') {

      return -1;

    } else {

        count = *t++ - '0';

        while (*t >= '0' && *t <= '9') {

            count *= 10;

            count += *t++ - '0';

        }

    }

    *ts = t;

    return count;

}

static int __Pyx_BufFmt_ExpectNumber(const char **ts) {

    int number = __Pyx_BufFmt_ParseNumber(ts);

    if (number == -1)

        PyErr_Format(PyExc_ValueError,\

                     "Does not understand character buffer dtype format string ('%c')", **ts);

    return number;

}

static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) {

  PyErr_Format(PyExc_ValueError,

               "Unexpected format string character: '%c'", ch);

}

static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) {

  switch (ch) {

    case '?': return "'bool'";

    case 'c': return "'char'";

    case 'b': return "'signed char'";

    case 'B': return "'unsigned char'";

    case 'h': return "'short'";

    case 'H': return "'unsigned short'";

    case 'i': return "'int'";

    case 'I': return "'unsigned int'";

    case 'l': return "'long'";

    case 'L': return "'unsigned long'";

    case 'q': return "'long long'";

    case 'Q': return "'unsigned long long'";

    case 'f': return (is_complex ? "'complex float'" : "'float'");

    case 'd': return (is_complex ? "'complex double'" : "'double'");

    case 'g': return (is_complex ? "'complex long double'" : "'long double'");

    case 'T': return "a struct";

    case 'O': return "Python object";

    case 'P': return "a pointer";

    case 's': case 'p': return "a string";

    case 0: return "end";

    default: return "unparseable format string";

  }

}

static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) {

  switch (ch) {

    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;

    case 'h': case 'H': return 2;

    case 'i': case 'I': case 'l': case 'L': return 4;

    case 'q': case 'Q': return 8;

    case 'f': return (is_complex ? 8 : 4);

    case 'd': return (is_complex ? 16 : 8);

    case 'g': {

      PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g')..");

      return 0;

    }

    case 'O': case 'P': return sizeof(void*);

    default:

      __Pyx_BufFmt_RaiseUnexpectedChar(ch);

      return 0;

    }

}

static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) {

  switch (ch) {

    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;

    case 'h': case 'H': return sizeof(short);

    case 'i': case 'I': return sizeof(int);

    case 'l': case 'L': return sizeof(long);

    #ifdef HAVE_LONG_LONG

    case 'q': case 'Q': return sizeof(PY_LONG_LONG);

    #endif

    case 'f': return sizeof(float) * (is_complex ? 2 : 1);

    case 'd': return sizeof(double) * (is_complex ? 2 : 1);

    case 'g': return sizeof(long double) * (is_complex ? 2 : 1);

    case 'O': case 'P': return sizeof(void*);

    default: {

      __Pyx_BufFmt_RaiseUnexpectedChar(ch);

      return 0;

    }

  }

}

typedef struct { char c; short x; } __Pyx_st_short;

typedef struct { char c; int x; } __Pyx_st_int;

typedef struct { char c; long x; } __Pyx_st_long;

typedef struct { char c; float x; } __Pyx_st_float;

typedef struct { char c; double x; } __Pyx_st_double;

typedef struct { char c; long double x; } __Pyx_st_longdouble;

typedef struct { char c; void *x; } __Pyx_st_void_p;

#ifdef HAVE_LONG_LONG

typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong;

#endif

static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, CYTHON_UNUSED int is_complex) {

  switch (ch) {

    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;

    case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short);

    case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int);

    case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long);

#ifdef HAVE_LONG_LONG

    case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG);

#endif

    case 'f': return sizeof(__Pyx_st_float) - sizeof(float);

    case 'd': return sizeof(__Pyx_st_double) - sizeof(double);

    case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double);

    case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*);

    default:

      __Pyx_BufFmt_RaiseUnexpectedChar(ch);

      return 0;

    }

}

/* These are for computing the padding at the end of the struct to align

   on the first member of the struct. This will probably the same as above,

   but we don't have any guarantees.

 */

typedef struct { short x; char c; } __Pyx_pad_short;

typedef struct { int x; char c; } __Pyx_pad_int;

typedef struct { long x; char c; } __Pyx_pad_long;

typedef struct { float x; char c; } __Pyx_pad_float;

typedef struct { double x; char c; } __Pyx_pad_double;

typedef struct { long double x; char c; } __Pyx_pad_longdouble;

typedef struct { void *x; char c; } __Pyx_pad_void_p;

#ifdef HAVE_LONG_LONG

typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong;

#endif

static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, CYTHON_UNUSED int is_complex) {

  switch (ch) {

    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;

    case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short);

    case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int);

    case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long);

#ifdef HAVE_LONG_LONG

    case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG);

#endif

    case 'f': return sizeof(__Pyx_pad_float) - sizeof(float);

    case 'd': return sizeof(__Pyx_pad_double) - sizeof(double);

    case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double);

    case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*);

    default:

      __Pyx_BufFmt_RaiseUnexpectedChar(ch);

      return 0;

    }

}

static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) {

  switch (ch) {

    case 'c':

        return 'H';

    case 'b': case 'h': case 'i':

    case 'l': case 'q': case 's': case 'p':

        return 'I';

    case '?': case 'B': case 'H': case 'I': case 'L': case 'Q':

        return 'U';

    case 'f': case 'd': case 'g':

        return (is_complex ? 'C' : 'R');

    case 'O':

        return 'O';

    case 'P':

        return 'P';

    default: {

      __Pyx_BufFmt_RaiseUnexpectedChar(ch);

      return 0;

    }

  }

}

static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) {

  if (ctx->head == NULL || ctx->head->field == &ctx->root) {

    const char* expected;

    const char* quote;

    if (ctx->head == NULL) {

      expected = "end";

      quote = "";

    } else {

      expected = ctx->head->field->type->name;

      quote = "'";

    }

    PyErr_Format(PyExc_ValueError,

                 "Buffer dtype mismatch, expected %s%s%s but got %s",

                 quote, expected, quote,

                 __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex));

  } else {

    __Pyx_StructField* field = ctx->head->field;

    __Pyx_StructField* parent = (ctx->head - 1)->field;

    PyErr_Format(PyExc_ValueError,

                 "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'",

                 field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex),

                 parent->type->name, field->name);

  }

}

static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) {

  char group;

  size_t size, offset, arraysize = 1;

  if (ctx->enc_type == 0) return 0;

  if (ctx->head->field->type->arraysize[0]) {

    int i, ndim = 0;

    if (ctx->enc_type == 's' || ctx->enc_type == 'p') {

        ctx->is_valid_array = ctx->head->field->type->ndim == 1;

        ndim = 1;

        if (ctx->enc_count != ctx->head->field->type->arraysize[0]) {

            PyErr_Format(PyExc_ValueError,

                         "Expected a dimension of size %zu, got %zu",

                         ctx->head->field->type->arraysize[0], ctx->enc_count);

            return -1;

        }

    }

    if (!ctx->is_valid_array) {

      PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d",

                   ctx->head->field->type->ndim, ndim);

      return -1;

    }

    for (i = 0; i < ctx->head->field->type->ndim; i++) {

      arraysize *= ctx->head->field->type->arraysize[i];

    }

    ctx->is_valid_array = 0;

    ctx->enc_count = 1;

  }

  group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex);

  do {

    __Pyx_StructField* field = ctx->head->field;

    __Pyx_TypeInfo* type = field->type;

    if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') {

      size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex);

    } else {

      size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex);

    }

    if (ctx->enc_packmode == '@') {

      size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex);

      size_t align_mod_offset;

      if (align_at == 0) return -1;

      align_mod_offset = ctx->fmt_offset % align_at;

      if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset;

      if (ctx->struct_alignment == 0)

          ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type,

                                                                 ctx->is_complex);

    }

    if (type->size != size || type->typegroup != group) {

      if (type->typegroup == 'C' && type->fields != NULL) {

        size_t parent_offset = ctx->head->parent_offset + field->offset;

        ++ctx->head;

        ctx->head->field = type->fields;

        ctx->head->parent_offset = parent_offset;

        continue;

      }

      if ((type->typegroup == 'H' || group == 'H') && type->size == size) {

      } else {

          __Pyx_BufFmt_RaiseExpected(ctx);

          return -1;

      }

    }

    offset = ctx->head->parent_offset + field->offset;

    if (ctx->fmt_offset != offset) {

      PyErr_Format(PyExc_ValueError,

                   "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected",

                   (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset);

      return -1;

    }

    ctx->fmt_offset += size;

    if (arraysize)

      ctx->fmt_offset += (arraysize - 1) * size;

    --ctx->enc_count;

    while (1) {

      if (field == &ctx->root) {

        ctx->head = NULL;

        if (ctx->enc_count != 0) {

          __Pyx_BufFmt_RaiseExpected(ctx);

          return -1;

        }

        break;

      }

      ctx->head->field = ++field;

      if (field->type == NULL) {

        --ctx->head;

        field = ctx->head->field;

        continue;

      } else if (field->type->typegroup == 'S') {

        size_t parent_offset = ctx->head->parent_offset + field->offset;

        if (field->type->fields->type == NULL) continue;

        field = field->type->fields;

        ++ctx->head;

        ctx->head->field = field;

        ctx->head->parent_offset = parent_offset;

        break;

      } else {

        break;

      }

    }

  } while (ctx->enc_count);

  ctx->enc_type = 0;

  ctx->is_complex = 0;

  return 0;

}

static PyObject *

__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp)

{

    const char *ts = *tsp;

    int i = 0, number, ndim;

    ++ts;

    if (ctx->new_count != 1) {

        PyErr_SetString(PyExc_ValueError,

                        "Cannot handle repeated arrays in format string");

        return NULL;

    }

    if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;

    ndim = ctx->head->field->type->ndim;

    while (*ts && *ts != ')') {

        switch (*ts) {

            case ' ': case '\f': case '\r': case '\n': case '\t': case '\v':  continue;

            default:  break;

        }

        number = __Pyx_BufFmt_ExpectNumber(&ts);

        if (number == -1) return NULL;

        if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i])

            return PyErr_Format(PyExc_ValueError,

                        "Expected a dimension of size %zu, got %d",

                        ctx->head->field->type->arraysize[i], number);

        if (*ts != ',' && *ts != ')')

            return PyErr_Format(PyExc_ValueError,

                                "Expected a comma in format string, got '%c'", *ts);

        if (*ts == ',') ts++;

        i++;

    }

    if (i != ndim)

        return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d",

                            ctx->head->field->type->ndim, i);

    if (!*ts) {

        PyErr_SetString(PyExc_ValueError,

                        "Unexpected end of format string, expected ')'");

        return NULL;

    }

    ctx->is_valid_array = 1;

    ctx->new_count = 1;

    *tsp = ++ts;

    return Py_None;

}

static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) {

  int got_Z = 0;

  while (1) {

    switch(*ts) {

      case 0:

        if (ctx->enc_type != 0 && ctx->head == NULL) {

          __Pyx_BufFmt_RaiseExpected(ctx);

          return NULL;

        }

        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;

        if (ctx->head != NULL) {

          __Pyx_BufFmt_RaiseExpected(ctx);

          return NULL;

        }

        return ts;

      case ' ':

      case '\r':

      case '\n':

        ++ts;

        break;

      case '<':

        if (!__Pyx_Is_Little_Endian()) {

          PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");

          return NULL;

        }

        ctx->new_packmode = '=';

        ++ts;

        break;

      case '>':

      case '!':

        if (__Pyx_Is_Little_Endian()) {

          PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");

          return NULL;

        }

        ctx->new_packmode = '=';

        ++ts;

        break;

      case '=':

      case '@':

      case '^':

        ctx->new_packmode = *ts++;

        break;

      case 'T':

        {

          const char* ts_after_sub;

          size_t i, struct_count = ctx->new_count;

          size_t struct_alignment = ctx->struct_alignment;

          ctx->new_count = 1;

          ++ts;

          if (*ts != '{') {

            PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");

            return NULL;

          }

          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;

          ctx->enc_type = 0;

          ctx->enc_count = 0;

          ctx->struct_alignment = 0;

          ++ts;

          ts_after_sub = ts;

          for (i = 0; i != struct_count; ++i) {

            ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts);

            if (!ts_after_sub) return NULL;

          }

          ts = ts_after_sub;

          if (struct_alignment) ctx->struct_alignment = struct_alignment;

        }

        break;

      case '}':

        {

          size_t alignment = ctx->struct_alignment;

          ++ts;

          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;

          ctx->enc_type = 0;

          if (alignment && ctx->fmt_offset % alignment) {

            ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment);

          }

        }

        return ts;

      case 'x':

        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;

        ctx->fmt_offset += ctx->new_count;

        ctx->new_count = 1;

        ctx->enc_count = 0;

        ctx->enc_type = 0;

        ctx->enc_packmode = ctx->new_packmode;

        ++ts;

        break;

      case 'Z':

        got_Z = 1;

        ++ts;

        if (*ts != 'f' && *ts != 'd' && *ts != 'g') {

          __Pyx_BufFmt_RaiseUnexpectedChar('Z');

          return NULL;

        }

        CYTHON_FALLTHROUGH;

      case '?': case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I':

      case 'l': case 'L': case 'q': case 'Q':

      case 'f': case 'd': case 'g':

      case 'O': case 'p':

        if ((ctx->enc_type == *ts) && (got_Z == ctx->is_complex) &&

            (ctx->enc_packmode == ctx->new_packmode) && (!ctx->is_valid_array)) {

          ctx->enc_count += ctx->new_count;

          ctx->new_count = 1;

          got_Z = 0;

          ++ts;

          break;

        }

        CYTHON_FALLTHROUGH;

      case 's':

        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;

        ctx->enc_count = ctx->new_count;

        ctx->enc_packmode = ctx->new_packmode;

        ctx->enc_type = *ts;

        ctx->is_complex = got_Z;

        ++ts;

        ctx->new_count = 1;

        got_Z = 0;

        break;

      case ':':

        ++ts;

        while(*ts != ':') ++ts;

        ++ts;

        break;

      case '(':

        if (!__pyx_buffmt_parse_array(ctx, &ts)) return NULL;

        break;

      default:

        {

          int number = __Pyx_BufFmt_ExpectNumber(&ts);

          if (number == -1) return NULL;

          ctx->new_count = (size_t)number;

        }

    }

  }

}


/* TypeInfoCompare */

  static int

__pyx_typeinfo_cmp(__Pyx_TypeInfo *a, __Pyx_TypeInfo *b)

{

    int i;

    if (!a || !b)

        return 0;

    if (a == b)

        return 1;

    if (a->size != b->size || a->typegroup != b->typegroup ||

            a->is_unsigned != b->is_unsigned || a->ndim != b->ndim) {

        if (a->typegroup == 'H' || b->typegroup == 'H') {

            return a->size == b->size;

        } else {

            return 0;

        }

    }

    if (a->ndim) {

        for (i = 0; i < a->ndim; i++)

            if (a->arraysize[i] != b->arraysize[i])

                return 0;

    }

    if (a->typegroup == 'S') {

        if (a->flags != b->flags)

            return 0;

        if (a->fields || b->fields) {

            if (!(a->fields && b->fields))

                return 0;

            for (i = 0; a->fields[i].type && b->fields[i].type; i++) {

                __Pyx_StructField *field_a = a->fields + i;

                __Pyx_StructField *field_b = b->fields + i;

                if (field_a->offset != field_b->offset ||

                    !__pyx_typeinfo_cmp(field_a->type, field_b->type))

                    return 0;

            }

            return !a->fields[i].type && !b->fields[i].type;

        }

    }

    return 1;

}


/* MemviewSliceValidateAndInit */

  static int

__pyx_check_strides(Py_buffer *buf, int dim, int ndim, int spec)

{

    if (buf->shape[dim] <= 1)

        return 1;

    if (buf->strides) {

        if (spec & __Pyx_MEMVIEW_CONTIG) {

            if (spec & (__Pyx_MEMVIEW_PTR|__Pyx_MEMVIEW_FULL)) {

                if (unlikely(buf->strides[dim] != sizeof(void *))) {

                    PyErr_Format(PyExc_ValueError,

                                 "Buffer is not indirectly contiguous "

                                 "in dimension %d.", dim);

                    goto fail;

                }

            } else if (unlikely(buf->strides[dim] != buf->itemsize)) {

                PyErr_SetString(PyExc_ValueError,

                                "Buffer and memoryview are not contiguous "

                                "in the same dimension.");

                goto fail;

            }

        }

        if (spec & __Pyx_MEMVIEW_FOLLOW) {

            Py_ssize_t stride = buf->strides[dim];

            if (stride < 0)

                stride = -stride;

            if (unlikely(stride < buf->itemsize)) {

                PyErr_SetString(PyExc_ValueError,

                                "Buffer and memoryview are not contiguous "

                                "in the same dimension.");

                goto fail;

            }

        }

    } else {

        if (unlikely(spec & __Pyx_MEMVIEW_CONTIG && dim != ndim - 1)) {

            PyErr_Format(PyExc_ValueError,

                         "C-contiguous buffer is not contiguous in "

                         "dimension %d", dim);

            goto fail;

        } else if (unlikely(spec & (__Pyx_MEMVIEW_PTR))) {

            PyErr_Format(PyExc_ValueError,

                         "C-contiguous buffer is not indirect in "

                         "dimension %d", dim);

            goto fail;

        } else if (unlikely(buf->suboffsets)) {

            PyErr_SetString(PyExc_ValueError,

                            "Buffer exposes suboffsets but no strides");

            goto fail;

        }

    }

    return 1;

fail:

    return 0;

}

static int

__pyx_check_suboffsets(Py_buffer *buf, int dim, CYTHON_UNUSED int ndim, int spec)

{

    if (spec & __Pyx_MEMVIEW_DIRECT) {

        if (unlikely(buf->suboffsets && buf->suboffsets[dim] >= 0)) {

            PyErr_Format(PyExc_ValueError,

                         "Buffer not compatible with direct access "

                         "in dimension %d.", dim);

            goto fail;

        }

    }

    if (spec & __Pyx_MEMVIEW_PTR) {

        if (unlikely(!buf->suboffsets || (buf->suboffsets[dim] < 0))) {

            PyErr_Format(PyExc_ValueError,

                         "Buffer is not indirectly accessible "

                         "in dimension %d.", dim);

            goto fail;

        }

    }

    return 1;

fail:

    return 0;

}

static int

__pyx_verify_contig(Py_buffer *buf, int ndim, int c_or_f_flag)

{

    int i;

    if (c_or_f_flag & __Pyx_IS_F_CONTIG) {

        Py_ssize_t stride = 1;

        for (i = 0; i < ndim; i++) {

            if (unlikely(stride * buf->itemsize != buf->strides[i]  &&  buf->shape[i] > 1)) {

                PyErr_SetString(PyExc_ValueError,

                    "Buffer not fortran contiguous.");

                goto fail;

            }

            stride = stride * buf->shape[i];

        }

    } else if (c_or_f_flag & __Pyx_IS_C_CONTIG) {

        Py_ssize_t stride = 1;

        for (i = ndim - 1; i >- 1; i--) {

            if (unlikely(stride * buf->itemsize != buf->strides[i]  &&  buf->shape[i] > 1)) {

                PyErr_SetString(PyExc_ValueError,

                    "Buffer not C contiguous.");

                goto fail;

            }

            stride = stride * buf->shape[i];

        }

    }

    return 1;

fail:

    return 0;

}

static int __Pyx_ValidateAndInit_memviewslice(

                int *axes_specs,

                int c_or_f_flag,

                int buf_flags,

                int ndim,

                __Pyx_TypeInfo *dtype,

                __Pyx_BufFmt_StackElem stack[],

                __Pyx_memviewslice *memviewslice,

                PyObject *original_obj)

{

    struct __pyx_memoryview_obj *memview, *new_memview;

    __Pyx_RefNannyDeclarations

    Py_buffer *buf;

    int i, spec = 0, retval = -1;

    __Pyx_BufFmt_Context ctx;

    int from_memoryview = __pyx_memoryview_check(original_obj);

    __Pyx_RefNannySetupContext("ValidateAndInit_memviewslice", 0);

    if (from_memoryview && __pyx_typeinfo_cmp(dtype, ((struct __pyx_memoryview_obj *)

                                                            original_obj)->typeinfo)) {

        memview = (struct __pyx_memoryview_obj *) original_obj;

        new_memview = NULL;

    } else {

        memview = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(

                                            original_obj, buf_flags, 0, dtype);

        new_memview = memview;

        if (unlikely(!memview))

            goto fail;

    }

    buf = &memview->view;

    if (unlikely(buf->ndim != ndim)) {

        PyErr_Format(PyExc_ValueError,

                "Buffer has wrong number of dimensions (expected %d, got %d)",

                ndim, buf->ndim);

        goto fail;

    }

    if (new_memview) {

        __Pyx_BufFmt_Init(&ctx, stack, dtype);

        if (unlikely(!__Pyx_BufFmt_CheckString(&ctx, buf->format))) goto fail;

    }

    if (unlikely((unsigned) buf->itemsize != dtype->size)) {

        PyErr_Format(PyExc_ValueError,

                     "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "u byte%s) "

                     "does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "u byte%s)",

                     buf->itemsize,

                     (buf->itemsize > 1) ? "s" : "",

                     dtype->name,

                     dtype->size,

                     (dtype->size > 1) ? "s" : "");

        goto fail;

    }

    if (buf->len > 0) {

        for (i = 0; i < ndim; i++) {

            spec = axes_specs[i];

            if (unlikely(!__pyx_check_strides(buf, i, ndim, spec)))

                goto fail;

            if (unlikely(!__pyx_check_suboffsets(buf, i, ndim, spec)))

                goto fail;

        }

        if (unlikely(buf->strides && !__pyx_verify_contig(buf, ndim, c_or_f_flag)))

            goto fail;

    }

    if (unlikely(__Pyx_init_memviewslice(memview, ndim, memviewslice,

                                         new_memview != NULL) == -1)) {

        goto fail;

    }

    retval = 0;

    goto no_fail;

fail:

    Py_XDECREF(new_memview);

    retval = -1;

no_fail:

    __Pyx_RefNannyFinishContext();

    return retval;

}


/* ObjectToMemviewSlice */

  static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds_double(PyObject *obj, int writable_flag) {

    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };

    __Pyx_BufFmt_StackElem stack[1];

    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };

    int retcode;

    if (obj == Py_None) {

        result.memview = (struct __pyx_memoryview_obj *) Py_None;

        return result;

    }

    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,

                                                 PyBUF_RECORDS_RO | writable_flag, 1,

                                                 &__Pyx_TypeInfo_double, stack,

                                                 &result, obj);

    if (unlikely(retcode == -1))

        goto __pyx_fail;

    return result;

__pyx_fail:

    result.memview = NULL;

    result.data = NULL;

    return result;

}


/* ObjectToMemviewSlice */

  static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds_int(PyObject *obj, int writable_flag) {

    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };

    __Pyx_BufFmt_StackElem stack[1];

    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };

    int retcode;

    if (obj == Py_None) {

        result.memview = (struct __pyx_memoryview_obj *) Py_None;

        return result;

    }

    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,

                                                 PyBUF_RECORDS_RO | writable_flag, 1,

                                                 &__Pyx_TypeInfo_int, stack,

                                                 &result, obj);

    if (unlikely(retcode == -1))

        goto __pyx_fail;

    return result;

__pyx_fail:

    result.memview = NULL;

    result.data = NULL;

    return result;

}


/* Declarations */

  #if CYTHON_CCOMPLEX

  #ifdef __cplusplus

    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {

      return ::std::complex< float >(x, y);

    }

  #else

    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {

      return x + y*(__pyx_t_float_complex)_Complex_I;

    }

  #endif

#else

    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {

      __pyx_t_float_complex z;

      z.real = x;

      z.imag = y;

      return z;

    }

#endif


/* Arithmetic */

  #if CYTHON_CCOMPLEX

#else

    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {

       return (a.real == b.real) && (a.imag == b.imag);

    }

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {

        __pyx_t_float_complex z;

        z.real = a.real + b.real;

        z.imag = a.imag + b.imag;

        return z;

    }

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {

        __pyx_t_float_complex z;

        z.real = a.real - b.real;

        z.imag = a.imag - b.imag;

        return z;

    }

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {

        __pyx_t_float_complex z;

        z.real = a.real * b.real - a.imag * b.imag;

        z.imag = a.real * b.imag + a.imag * b.real;

        return z;

    }

    #if 1

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {

        if (b.imag == 0) {

            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);

        } else if (fabsf(b.real) >= fabsf(b.imag)) {

            if (b.real == 0 && b.imag == 0) {

                return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.imag);

            } else {

                float r = b.imag / b.real;

                float s = (float)(1.0) / (b.real + b.imag * r);

                return __pyx_t_float_complex_from_parts(

                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);

            }

        } else {

            float r = b.real / b.imag;

            float s = (float)(1.0) / (b.imag + b.real * r);

            return __pyx_t_float_complex_from_parts(

                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);

        }

    }

    #else

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {

        if (b.imag == 0) {

            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);

        } else {

            float denom = b.real * b.real + b.imag * b.imag;

            return __pyx_t_float_complex_from_parts(

                (a.real * b.real + a.imag * b.imag) / denom,

                (a.imag * b.real - a.real * b.imag) / denom);

        }

    }

    #endif

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex a) {

        __pyx_t_float_complex z;

        z.real = -a.real;

        z.imag = -a.imag;

        return z;

    }

    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex a) {

       return (a.real == 0) && (a.imag == 0);

    }

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex a) {

        __pyx_t_float_complex z;

        z.real =  a.real;

        z.imag = -a.imag;

        return z;

    }

    #if 1

        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex z) {

          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)

            return sqrtf(z.real*z.real + z.imag*z.imag);

          #else

            return hypotf(z.real, z.imag);

          #endif

        }

        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {

            __pyx_t_float_complex z;

            float r, lnr, theta, z_r, z_theta;

            if (b.imag == 0 && b.real == (int)b.real) {

                if (b.real < 0) {

                    float denom = a.real * a.real + a.imag * a.imag;

                    a.real = a.real / denom;

                    a.imag = -a.imag / denom;

                    b.real = -b.real;

                }

                switch ((int)b.real) {

                    case 0:

                        z.real = 1;

                        z.imag = 0;

                        return z;

                    case 1:

                        return a;

                    case 2:

                        return __Pyx_c_prod_float(a, a);

                    case 3:

                        z = __Pyx_c_prod_float(a, a);

                        return __Pyx_c_prod_float(z, a);

                    case 4:

                        z = __Pyx_c_prod_float(a, a);

                        return __Pyx_c_prod_float(z, z);

                }

            }

            if (a.imag == 0) {

                if (a.real == 0) {

                    return a;

                } else if (b.imag == 0) {

                    z.real = powf(a.real, b.real);

                    z.imag = 0;

                    return z;

                } else if (a.real > 0) {

                    r = a.real;

                    theta = 0;

                } else {

                    r = -a.real;

                    theta = atan2f(0.0, -1.0);

                }

            } else {

                r = __Pyx_c_abs_float(a);

                theta = atan2f(a.imag, a.real);

            }

            lnr = logf(r);

            z_r = expf(lnr * b.real - theta * b.imag);

            z_theta = theta * b.real + lnr * b.imag;

            z.real = z_r * cosf(z_theta);

            z.imag = z_r * sinf(z_theta);

            return z;

        }

    #endif

#endif


/* Declarations */

  #if CYTHON_CCOMPLEX

  #ifdef __cplusplus

    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {

      return ::std::complex< double >(x, y);

    }

  #else

    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {

      return x + y*(__pyx_t_double_complex)_Complex_I;

    }

  #endif

#else

    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {

      __pyx_t_double_complex z;

      z.real = x;

      z.imag = y;

      return z;

    }

#endif


/* Arithmetic */

  #if CYTHON_CCOMPLEX

#else

    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {

       return (a.real == b.real) && (a.imag == b.imag);

    }

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {

        __pyx_t_double_complex z;

        z.real = a.real + b.real;

        z.imag = a.imag + b.imag;

        return z;

    }

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {

        __pyx_t_double_complex z;

        z.real = a.real - b.real;

        z.imag = a.imag - b.imag;

        return z;

    }

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {

        __pyx_t_double_complex z;

        z.real = a.real * b.real - a.imag * b.imag;

        z.imag = a.real * b.imag + a.imag * b.real;

        return z;

    }

    #if 1

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {

        if (b.imag == 0) {

            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);

        } else if (fabs(b.real) >= fabs(b.imag)) {

            if (b.real == 0 && b.imag == 0) {

                return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag);

            } else {

                double r = b.imag / b.real;

                double s = (double)(1.0) / (b.real + b.imag * r);

                return __pyx_t_double_complex_from_parts(

                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);

            }

        } else {

            double r = b.real / b.imag;

            double s = (double)(1.0) / (b.imag + b.real * r);

            return __pyx_t_double_complex_from_parts(

                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);

        }

    }

    #else

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {

        if (b.imag == 0) {

            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);

        } else {

            double denom = b.real * b.real + b.imag * b.imag;

            return __pyx_t_double_complex_from_parts(

                (a.real * b.real + a.imag * b.imag) / denom,

                (a.imag * b.real - a.real * b.imag) / denom);

        }

    }

    #endif

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) {

        __pyx_t_double_complex z;

        z.real = -a.real;

        z.imag = -a.imag;

        return z;

    }

    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) {

       return (a.real == 0) && (a.imag == 0);

    }

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) {

        __pyx_t_double_complex z;

        z.real =  a.real;

        z.imag = -a.imag;

        return z;

    }

    #if 1

        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) {

          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)

            return sqrt(z.real*z.real + z.imag*z.imag);

          #else

            return hypot(z.real, z.imag);

          #endif

        }

        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {

            __pyx_t_double_complex z;

            double r, lnr, theta, z_r, z_theta;

            if (b.imag == 0 && b.real == (int)b.real) {

                if (b.real < 0) {

                    double denom = a.real * a.real + a.imag * a.imag;

                    a.real = a.real / denom;

                    a.imag = -a.imag / denom;

                    b.real = -b.real;

                }

                switch ((int)b.real) {

                    case 0:

                        z.real = 1;

                        z.imag = 0;

                        return z;

                    case 1:

                        return a;

                    case 2:

                        return __Pyx_c_prod_double(a, a);

                    case 3:

                        z = __Pyx_c_prod_double(a, a);

                        return __Pyx_c_prod_double(z, a);

                    case 4:

                        z = __Pyx_c_prod_double(a, a);

                        return __Pyx_c_prod_double(z, z);

                }

            }

            if (a.imag == 0) {

                if (a.real == 0) {

                    return a;

                } else if (b.imag == 0) {

                    z.real = pow(a.real, b.real);

                    z.imag = 0;

                    return z;

                } else if (a.real > 0) {

                    r = a.real;

                    theta = 0;

                } else {

                    r = -a.real;

                    theta = atan2(0.0, -1.0);

                }

            } else {

                r = __Pyx_c_abs_double(a);

                theta = atan2(a.imag, a.real);

            }

            lnr = log(r);

            z_r = exp(lnr * b.real - theta * b.imag);

            z_theta = theta * b.real + lnr * b.imag;

            z.real = z_r * cos(z_theta);

            z.imag = z_r * sin(z_theta);

            return z;

        }

    #endif

#endif


/* MemviewSliceCopyTemplate */

  static __Pyx_memviewslice

__pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,

                                 const char *mode, int ndim,

                                 size_t sizeof_dtype, int contig_flag,

                                 int dtype_is_object)

{

    __Pyx_RefNannyDeclarations

    int i;

    __Pyx_memviewslice new_mvs = { 0, 0, { 0 }, { 0 }, { 0 } };

    struct __pyx_memoryview_obj *from_memview = from_mvs->memview;

    Py_buffer *buf = &from_memview->view;

    PyObject *shape_tuple = NULL;

    PyObject *temp_int = NULL;

    struct __pyx_array_obj *array_obj = NULL;

    struct __pyx_memoryview_obj *memview_obj = NULL;

    __Pyx_RefNannySetupContext("__pyx_memoryview_copy_new_contig", 0);

    for (i = 0; i < ndim; i++) {

        if (unlikely(from_mvs->suboffsets[i] >= 0)) {

            PyErr_Format(PyExc_ValueError, "Cannot copy memoryview slice with "

                                           "indirect dimensions (axis %d)", i);

            goto fail;

        }

    }

    shape_tuple = PyTuple_New(ndim);

    if (unlikely(!shape_tuple)) {

        goto fail;

    }

    __Pyx_GOTREF(shape_tuple);

    for(i = 0; i < ndim; i++) {

        temp_int = PyInt_FromSsize_t(from_mvs->shape[i]);

        if(unlikely(!temp_int)) {

            goto fail;

        } else {

            PyTuple_SET_ITEM(shape_tuple, i, temp_int);

            temp_int = NULL;

        }

    }

    array_obj = __pyx_array_new(shape_tuple, sizeof_dtype, buf->format, (char *) mode, NULL);

    if (unlikely(!array_obj)) {

        goto fail;

    }

    __Pyx_GOTREF(array_obj);

    memview_obj = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(

                                    (PyObject *) array_obj, contig_flag,

                                    dtype_is_object,

                                    from_mvs->memview->typeinfo);

    if (unlikely(!memview_obj))

        goto fail;

    if (unlikely(__Pyx_init_memviewslice(memview_obj, ndim, &new_mvs, 1) < 0))

        goto fail;

    if (unlikely(__pyx_memoryview_copy_contents(*from_mvs, new_mvs, ndim, ndim,

                                                dtype_is_object) < 0))

        goto fail;

    goto no_fail;

fail:

    __Pyx_XDECREF(new_mvs.memview);

    new_mvs.memview = NULL;

    new_mvs.data = NULL;

no_fail:

    __Pyx_XDECREF(shape_tuple);

    __Pyx_XDECREF(temp_int);

    __Pyx_XDECREF(array_obj);

    __Pyx_RefNannyFinishContext();

    return new_mvs;

}


/* CIntFromPy */

  static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {

#ifdef __Pyx_HAS_GCC_DIAGNOSTIC

#pragma GCC diagnostic push

#pragma GCC diagnostic ignored "-Wconversion"

#endif

    const int neg_one = (int) -1, const_zero = (int) 0;

#ifdef __Pyx_HAS_GCC_DIAGNOSTIC

#pragma GCC diagnostic pop

#endif

    const int is_unsigned = neg_one > const_zero;

#if PY_MAJOR_VERSION < 3

    if (likely(PyInt_Check(x))) {

        if (sizeof(int) < sizeof(long)) {

            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))

        } else {

            long val = PyInt_AS_LONG(x);

            if (is_unsigned && unlikely(val < 0)) {

                goto raise_neg_overflow;

            }

            return (int) val;

        }

    } else

#endif

    if (likely(PyLong_Check(x))) {

        if (is_unsigned) {

#if CYTHON_USE_PYLONG_INTERNALS

            const digit* digits = ((PyLongObject*)x)->ob_digit;

            switch (Py_SIZE(x)) {

                case  0: return (int) 0;

                case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])

                case 2:

                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(int) >= 2 * PyLong_SHIFT) {

                            return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));

                        }

                    }

                    break;

                case 3:

                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(int) >= 3 * PyLong_SHIFT) {

                            return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));

                        }

                    }

                    break;

                case 4:

                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(int) >= 4 * PyLong_SHIFT) {

                            return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));

                        }

                    }

                    break;

            }

#endif

#if CYTHON_COMPILING_IN_CPYTHON

            if (unlikely(Py_SIZE(x) < 0)) {

                goto raise_neg_overflow;

            }

#else

            {

                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);

                if (unlikely(result < 0))

                    return (int) -1;

                if (unlikely(result == 1))

                    goto raise_neg_overflow;

            }

#endif

            if (sizeof(int) <= sizeof(unsigned long)) {

                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))

#ifdef HAVE_LONG_LONG

            } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {

                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))

#endif

            }

        } else {

#if CYTHON_USE_PYLONG_INTERNALS

            const digit* digits = ((PyLongObject*)x)->ob_digit;

            switch (Py_SIZE(x)) {

                case  0: return (int) 0;

                case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, (sdigit) (-(sdigit)digits[0]))

                case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +digits[0])

                case -2:

                    if (8 * sizeof(int) - 1 > 1 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {

                            return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));

                        }

                    }

                    break;

                case 2:

                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {

                            return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));

                        }

                    }

                    break;

                case -3:

                    if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {

                            return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));

                        }

                    }

                    break;

                case 3:

                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {

                            return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));

                        }

                    }

                    break;

                case -4:

                    if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {

                            return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));

                        }

                    }

                    break;

                case 4:

                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {

                            return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));

                        }

                    }

                    break;

            }

#endif

            if (sizeof(int) <= sizeof(long)) {

                __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))

#ifdef HAVE_LONG_LONG

            } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {

                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))

#endif

            }

        }

        {

#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)

            PyErr_SetString(PyExc_RuntimeError,

                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");

#else

            int val;

            PyObject *v = __Pyx_PyNumber_IntOrLong(x);

 #if PY_MAJOR_VERSION < 3

            if (likely(v) && !PyLong_Check(v)) {

                PyObject *tmp = v;

                v = PyNumber_Long(tmp);

                Py_DECREF(tmp);

            }

 #endif

            if (likely(v)) {

                int one = 1; int is_little = (int)*(unsigned char *)&one;

                unsigned char *bytes = (unsigned char *)&val;

                int ret = _PyLong_AsByteArray((PyLongObject *)v,

                                              bytes, sizeof(val),

                                              is_little, !is_unsigned);

                Py_DECREF(v);

                if (likely(!ret))

                    return val;

            }

#endif

            return (int) -1;

        }

    } else {

        int val;

        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);

        if (!tmp) return (int) -1;

        val = __Pyx_PyInt_As_int(tmp);

        Py_DECREF(tmp);

        return val;

    }

raise_overflow:

    PyErr_SetString(PyExc_OverflowError,

        "value too large to convert to int");

    return (int) -1;

raise_neg_overflow:

    PyErr_SetString(PyExc_OverflowError,

        "can't convert negative value to int");

    return (int) -1;

}


/* CIntFromPy */

  static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {

#ifdef __Pyx_HAS_GCC_DIAGNOSTIC

#pragma GCC diagnostic push

#pragma GCC diagnostic ignored "-Wconversion"

#endif

    const long neg_one = (long) -1, const_zero = (long) 0;

#ifdef __Pyx_HAS_GCC_DIAGNOSTIC

#pragma GCC diagnostic pop

#endif

    const int is_unsigned = neg_one > const_zero;

#if PY_MAJOR_VERSION < 3

    if (likely(PyInt_Check(x))) {

        if (sizeof(long) < sizeof(long)) {

            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))

        } else {

            long val = PyInt_AS_LONG(x);

            if (is_unsigned && unlikely(val < 0)) {

                goto raise_neg_overflow;

            }

            return (long) val;

        }

    } else

#endif

    if (likely(PyLong_Check(x))) {

        if (is_unsigned) {

#if CYTHON_USE_PYLONG_INTERNALS

            const digit* digits = ((PyLongObject*)x)->ob_digit;

            switch (Py_SIZE(x)) {

                case  0: return (long) 0;

                case  1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])

                case 2:

                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(long) >= 2 * PyLong_SHIFT) {

                            return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));

                        }

                    }

                    break;

                case 3:

                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(long) >= 3 * PyLong_SHIFT) {

                            return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));

                        }

                    }

                    break;

                case 4:

                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(long) >= 4 * PyLong_SHIFT) {

                            return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));

                        }

                    }

                    break;

            }

#endif

#if CYTHON_COMPILING_IN_CPYTHON

            if (unlikely(Py_SIZE(x) < 0)) {

                goto raise_neg_overflow;

            }

#else

            {

                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);

                if (unlikely(result < 0))

                    return (long) -1;

                if (unlikely(result == 1))

                    goto raise_neg_overflow;

            }

#endif

            if (sizeof(long) <= sizeof(unsigned long)) {

                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))

#ifdef HAVE_LONG_LONG

            } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {

                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))

#endif

            }

        } else {

#if CYTHON_USE_PYLONG_INTERNALS

            const digit* digits = ((PyLongObject*)x)->ob_digit;

            switch (Py_SIZE(x)) {

                case  0: return (long) 0;

                case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, (sdigit) (-(sdigit)digits[0]))

                case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +digits[0])

                case -2:

                    if (8 * sizeof(long) - 1 > 1 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {

                            return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));

                        }

                    }

                    break;

                case 2:

                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {

                            return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));

                        }

                    }

                    break;

                case -3:

                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {

                            return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));

                        }

                    }

                    break;

                case 3:

                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {

                            return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));

                        }

                    }

                    break;

                case -4:

                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {

                            return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));

                        }

                    }

                    break;

                case 4:

                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {

                            return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));

                        }

                    }

                    break;

            }

#endif

            if (sizeof(long) <= sizeof(long)) {

                __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))

#ifdef HAVE_LONG_LONG

            } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {

                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))

#endif

            }

        }

        {

#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)

            PyErr_SetString(PyExc_RuntimeError,

                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");

#else

            long val;

            PyObject *v = __Pyx_PyNumber_IntOrLong(x);

 #if PY_MAJOR_VERSION < 3

            if (likely(v) && !PyLong_Check(v)) {

                PyObject *tmp = v;

                v = PyNumber_Long(tmp);

                Py_DECREF(tmp);

            }

 #endif

            if (likely(v)) {

                int one = 1; int is_little = (int)*(unsigned char *)&one;

                unsigned char *bytes = (unsigned char *)&val;

                int ret = _PyLong_AsByteArray((PyLongObject *)v,

                                              bytes, sizeof(val),

                                              is_little, !is_unsigned);

                Py_DECREF(v);

                if (likely(!ret))

                    return val;

            }

#endif

            return (long) -1;

        }

    } else {

        long val;

        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);

        if (!tmp) return (long) -1;

        val = __Pyx_PyInt_As_long(tmp);

        Py_DECREF(tmp);

        return val;

    }

raise_overflow:

    PyErr_SetString(PyExc_OverflowError,

        "value too large to convert to long");

    return (long) -1;

raise_neg_overflow:

    PyErr_SetString(PyExc_OverflowError,

        "can't convert negative value to long");

    return (long) -1;

}


/* CIntToPy */

  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {

#ifdef __Pyx_HAS_GCC_DIAGNOSTIC

#pragma GCC diagnostic push

#pragma GCC diagnostic ignored "-Wconversion"

#endif

    const int neg_one = (int) -1, const_zero = (int) 0;

#ifdef __Pyx_HAS_GCC_DIAGNOSTIC

#pragma GCC diagnostic pop

#endif

    const int is_unsigned = neg_one > const_zero;

    if (is_unsigned) {

        if (sizeof(int) < sizeof(long)) {

            return PyInt_FromLong((long) value);

        } else if (sizeof(int) <= sizeof(unsigned long)) {

            return PyLong_FromUnsignedLong((unsigned long) value);

#ifdef HAVE_LONG_LONG

        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {

            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);

#endif

        }

    } else {

        if (sizeof(int) <= sizeof(long)) {

            return PyInt_FromLong((long) value);

#ifdef HAVE_LONG_LONG

        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {

            return PyLong_FromLongLong((PY_LONG_LONG) value);

#endif

        }

    }

    {

        int one = 1; int little = (int)*(unsigned char *)&one;

        unsigned char *bytes = (unsigned char *)&value;

        return _PyLong_FromByteArray(bytes, sizeof(int),

                                     little, !is_unsigned);

    }

}


/* CIntToPy */

  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {

#ifdef __Pyx_HAS_GCC_DIAGNOSTIC

#pragma GCC diagnostic push

#pragma GCC diagnostic ignored "-Wconversion"

#endif

    const long neg_one = (long) -1, const_zero = (long) 0;

#ifdef __Pyx_HAS_GCC_DIAGNOSTIC

#pragma GCC diagnostic pop

#endif

    const int is_unsigned = neg_one > const_zero;

    if (is_unsigned) {

        if (sizeof(long) < sizeof(long)) {

            return PyInt_FromLong((long) value);

        } else if (sizeof(long) <= sizeof(unsigned long)) {

            return PyLong_FromUnsignedLong((unsigned long) value);

#ifdef HAVE_LONG_LONG

        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {

            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);

#endif

        }

    } else {

        if (sizeof(long) <= sizeof(long)) {

            return PyInt_FromLong((long) value);

#ifdef HAVE_LONG_LONG

        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {

            return PyLong_FromLongLong((PY_LONG_LONG) value);

#endif

        }

    }

    {

        int one = 1; int little = (int)*(unsigned char *)&one;

        unsigned char *bytes = (unsigned char *)&value;

        return _PyLong_FromByteArray(bytes, sizeof(long),

                                     little, !is_unsigned);

    }

}


/* CIntFromPy */

  static CYTHON_INLINE char __Pyx_PyInt_As_char(PyObject *x) {

#ifdef __Pyx_HAS_GCC_DIAGNOSTIC

#pragma GCC diagnostic push

#pragma GCC diagnostic ignored "-Wconversion"

#endif

    const char neg_one = (char) -1, const_zero = (char) 0;

#ifdef __Pyx_HAS_GCC_DIAGNOSTIC

#pragma GCC diagnostic pop

#endif

    const int is_unsigned = neg_one > const_zero;

#if PY_MAJOR_VERSION < 3

    if (likely(PyInt_Check(x))) {

        if (sizeof(char) < sizeof(long)) {

            __PYX_VERIFY_RETURN_INT(char, long, PyInt_AS_LONG(x))

        } else {

            long val = PyInt_AS_LONG(x);

            if (is_unsigned && unlikely(val < 0)) {

                goto raise_neg_overflow;

            }

            return (char) val;

        }

    } else

#endif

    if (likely(PyLong_Check(x))) {

        if (is_unsigned) {

#if CYTHON_USE_PYLONG_INTERNALS

            const digit* digits = ((PyLongObject*)x)->ob_digit;

            switch (Py_SIZE(x)) {

                case  0: return (char) 0;

                case  1: __PYX_VERIFY_RETURN_INT(char, digit, digits[0])

                case 2:

                    if (8 * sizeof(char) > 1 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(char) >= 2 * PyLong_SHIFT) {

                            return (char) (((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));

                        }

                    }

                    break;

                case 3:

                    if (8 * sizeof(char) > 2 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(char) >= 3 * PyLong_SHIFT) {

                            return (char) (((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));

                        }

                    }

                    break;

                case 4:

                    if (8 * sizeof(char) > 3 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(char) >= 4 * PyLong_SHIFT) {

                            return (char) (((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));

                        }

                    }

                    break;

            }

#endif

#if CYTHON_COMPILING_IN_CPYTHON

            if (unlikely(Py_SIZE(x) < 0)) {

                goto raise_neg_overflow;

            }

#else

            {

                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);

                if (unlikely(result < 0))

                    return (char) -1;

                if (unlikely(result == 1))

                    goto raise_neg_overflow;

            }

#endif

            if (sizeof(char) <= sizeof(unsigned long)) {

                __PYX_VERIFY_RETURN_INT_EXC(char, unsigned long, PyLong_AsUnsignedLong(x))

#ifdef HAVE_LONG_LONG

            } else if (sizeof(char) <= sizeof(unsigned PY_LONG_LONG)) {

                __PYX_VERIFY_RETURN_INT_EXC(char, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))

#endif

            }

        } else {

#if CYTHON_USE_PYLONG_INTERNALS

            const digit* digits = ((PyLongObject*)x)->ob_digit;

            switch (Py_SIZE(x)) {

                case  0: return (char) 0;

                case -1: __PYX_VERIFY_RETURN_INT(char, sdigit, (sdigit) (-(sdigit)digits[0]))

                case  1: __PYX_VERIFY_RETURN_INT(char,  digit, +digits[0])

                case -2:

                    if (8 * sizeof(char) - 1 > 1 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {

                            return (char) (((char)-1)*(((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));

                        }

                    }

                    break;

                case 2:

                    if (8 * sizeof(char) > 1 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {

                            return (char) ((((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));

                        }

                    }

                    break;

                case -3:

                    if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {

                            return (char) (((char)-1)*(((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));

                        }

                    }

                    break;

                case 3:

                    if (8 * sizeof(char) > 2 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {

                            return (char) ((((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));

                        }

                    }

                    break;

                case -4:

                    if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(char) - 1 > 4 * PyLong_SHIFT) {

                            return (char) (((char)-1)*(((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));

                        }

                    }

                    break;

                case 4:

                    if (8 * sizeof(char) > 3 * PyLong_SHIFT) {

                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {

                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))

                        } else if (8 * sizeof(char) - 1 > 4 * PyLong_SHIFT) {

                            return (char) ((((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));

                        }

                    }

                    break;

            }

#endif

            if (sizeof(char) <= sizeof(long)) {

                __PYX_VERIFY_RETURN_INT_EXC(char, long, PyLong_AsLong(x))

#ifdef HAVE_LONG_LONG

            } else if (sizeof(char) <= sizeof(PY_LONG_LONG)) {

                __PYX_VERIFY_RETURN_INT_EXC(char, PY_LONG_LONG, PyLong_AsLongLong(x))

#endif

            }

        }

        {

#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)

            PyErr_SetString(PyExc_RuntimeError,

                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");

#else

            char val;

            PyObject *v = __Pyx_PyNumber_IntOrLong(x);

 #if PY_MAJOR_VERSION < 3

            if (likely(v) && !PyLong_Check(v)) {

                PyObject *tmp = v;

                v = PyNumber_Long(tmp);

                Py_DECREF(tmp);

            }

 #endif

            if (likely(v)) {

                int one = 1; int is_little = (int)*(unsigned char *)&one;

                unsigned char *bytes = (unsigned char *)&val;

                int ret = _PyLong_AsByteArray((PyLongObject *)v,

                                              bytes, sizeof(val),

                                              is_little, !is_unsigned);

                Py_DECREF(v);

                if (likely(!ret))

                    return val;

            }

#endif

            return (char) -1;

        }

    } else {

        char val;

        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);

        if (!tmp) return (char) -1;

        val = __Pyx_PyInt_As_char(tmp);

        Py_DECREF(tmp);

        return val;

    }

raise_overflow:

    PyErr_SetString(PyExc_OverflowError,

        "value too large to convert to char");

    return (char) -1;

raise_neg_overflow:

    PyErr_SetString(PyExc_OverflowError,

        "can't convert negative value to char");

    return (char) -1;

}


/* CheckBinaryVersion */

  static int __Pyx_check_binary_version(void) {

    char ctversion[4], rtversion[4];

    PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);

    PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());

    if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {

        char message[200];

        PyOS_snprintf(message, sizeof(message),

                      "compiletime version %s of module '%.100s' "

                      "does not match runtime version %s",

                      ctversion, __Pyx_MODULE_NAME, rtversion);

        return PyErr_WarnEx(NULL, message, 1);

    }

    return 0;

}


/* InitStrings */

  static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {

    while (t->p) {

        #if PY_MAJOR_VERSION < 3

        if (t->is_unicode) {

            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);

        } else if (t->intern) {

            *t->p = PyString_InternFromString(t->s);

        } else {

            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);

        }

        #else

        if (t->is_unicode | t->is_str) {

            if (t->intern) {

                *t->p = PyUnicode_InternFromString(t->s);

            } else if (t->encoding) {

                *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);

            } else {

                *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);

            }

        } else {

            *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);

        }

        #endif

        if (!*t->p)

            return -1;

        if (PyObject_Hash(*t->p) == -1)

            return -1;

        ++t;

    }

    return 0;

}


static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {

    return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));

}

static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) {

    Py_ssize_t ignore;

    return __Pyx_PyObject_AsStringAndSize(o, &ignore);

}

#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT

#if !CYTHON_PEP393_ENABLED

static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {

    char* defenc_c;

    PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);

    if (!defenc) return NULL;

    defenc_c = PyBytes_AS_STRING(defenc);

#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII

    {

        char* end = defenc_c + PyBytes_GET_SIZE(defenc);

        char* c;

        for (c = defenc_c; c < end; c++) {

            if ((unsigned char) (*c) >= 128) {

                PyUnicode_AsASCIIString(o);

                return NULL;

            }

        }

    }

#endif

    *length = PyBytes_GET_SIZE(defenc);

    return defenc_c;

}

#else

static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {

    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;

#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII

    if (likely(PyUnicode_IS_ASCII(o))) {

        *length = PyUnicode_GET_LENGTH(o);

        return PyUnicode_AsUTF8(o);

    } else {

        PyUnicode_AsASCIIString(o);

        return NULL;

    }

#else

    return PyUnicode_AsUTF8AndSize(o, length);

#endif

}

#endif

#endif

static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {

#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT

    if (

#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII

            __Pyx_sys_getdefaultencoding_not_ascii &&

#endif

            PyUnicode_Check(o)) {

        return __Pyx_PyUnicode_AsStringAndSize(o, length);

    } else

#endif

#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))

    if (PyByteArray_Check(o)) {

        *length = PyByteArray_GET_SIZE(o);

        return PyByteArray_AS_STRING(o);

    } else

#endif

    {

        char* result;

        int r = PyBytes_AsStringAndSize(o, &result, length);

        if (unlikely(r < 0)) {

            return NULL;

        } else {

            return result;

        }

    }

}

static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {

   int is_true = x == Py_True;

   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;

   else return PyObject_IsTrue(x);

}

static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {

    int retval;

    if (unlikely(!x)) return -1;

    retval = __Pyx_PyObject_IsTrue(x);

    Py_DECREF(x);

    return retval;

}

static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) {

#if PY_MAJOR_VERSION >= 3

    if (PyLong_Check(result)) {

        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,

                "__int__ returned non-int (type %.200s).  "

                "The ability to return an instance of a strict subclass of int "

                "is deprecated, and may be removed in a future version of Python.",

                Py_TYPE(result)->tp_name)) {

            Py_DECREF(result);

            return NULL;

        }

        return result;

    }

#endif

    PyErr_Format(PyExc_TypeError,

                 "__%.4s__ returned non-%.4s (type %.200s)",

                 type_name, type_name, Py_TYPE(result)->tp_name);

    Py_DECREF(result);

    return NULL;

}

static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {

#if CYTHON_USE_TYPE_SLOTS

  PyNumberMethods *m;

#endif

  const char *name = NULL;

  PyObject *res = NULL;

#if PY_MAJOR_VERSION < 3

  if (likely(PyInt_Check(x) || PyLong_Check(x)))

#else

  if (likely(PyLong_Check(x)))

#endif

    return __Pyx_NewRef(x);

#if CYTHON_USE_TYPE_SLOTS

  m = Py_TYPE(x)->tp_as_number;

  #if PY_MAJOR_VERSION < 3

  if (m && m->nb_int) {

    name = "int";

    res = m->nb_int(x);

  }

  else if (m && m->nb_long) {

    name = "long";

    res = m->nb_long(x);

  }

  #else

  if (likely(m && m->nb_int)) {

    name = "int";

    res = m->nb_int(x);

  }

  #endif

#else

  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {

    res = PyNumber_Int(x);

  }

#endif

  if (likely(res)) {

#if PY_MAJOR_VERSION < 3

    if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {

#else

    if (unlikely(!PyLong_CheckExact(res))) {

#endif

        return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);

    }

  }

  else if (!PyErr_Occurred()) {

    PyErr_SetString(PyExc_TypeError,

                    "an integer is required");

  }

  return res;

}

static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {

  Py_ssize_t ival;

  PyObject *x;

#if PY_MAJOR_VERSION < 3

  if (likely(PyInt_CheckExact(b))) {

    if (sizeof(Py_ssize_t) >= sizeof(long))

        return PyInt_AS_LONG(b);

    else

        return PyInt_AsSsize_t(b);

  }

#endif

  if (likely(PyLong_CheckExact(b))) {

    #if CYTHON_USE_PYLONG_INTERNALS

    const digit* digits = ((PyLongObject*)b)->ob_digit;

    const Py_ssize_t size = Py_SIZE(b);

    if (likely(__Pyx_sst_abs(size) <= 1)) {

        ival = likely(size) ? digits[0] : 0;

        if (size == -1) ival = -ival;

        return ival;

    } else {

      switch (size) {

         case 2:

           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {

             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));

           }

           break;

         case -2:

           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {

             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));

           }

           break;

         case 3:

           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {

             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));

           }

           break;

         case -3:

           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {

             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));

           }

           break;

         case 4:

           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {

             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));

           }

           break;

         case -4:

           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {

             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));

           }

           break;

      }

    }

    #endif

    return PyLong_AsSsize_t(b);

  }

  x = PyNumber_Index(b);

  if (!x) return -1;

  ival = PyInt_AsSsize_t(x);

  Py_DECREF(x);

  return ival;

}

static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {

  return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);

}

static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {

    return PyInt_FromSize_t(ival);

}


#endif /* Py_PYTHON_H */